Relevant bibliographies by topics / Degree of a Submanifold

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Degree of a Submanifold'

Author: Grafiati
Published: 10 March 2023

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Journal articles on the topic "Degree of a Submanifold"

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BANGERT, VICTOR, and XIAOJUN CUI. "Calibrations and laminations." Mathematical Proceedings of the Cambridge Philosophical Society 162, no. 1 (June 15, 2016): 151–71. http://dx.doi.org/10.1017/s0305004116000475.

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AbstractA calibration of degree k ∈ ℕ on a Riemannian manifold M is a closed differential k-form θ such that the integral of θ over every k-dimensional, oriented submanifold N is smaller or equal to the Riemannian volume of N. A calibration θ is said to calibrate N if θ restricts to the oriented volume form of N. We investigate conditions on a calibration θ that ensure the existence of submanifolds calibrated by θ. The cases k = 1 and k > 1 turn out to be essentially different. Our main result says that, on a compact manifold M, a calibration θ calibrates a lamination if θ is simple, of class C1, and if θ has minimal comass norm in its cohomology class.
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Little, Robert D. "Regular cyclic actions on complex projective space with codimension-two fixed points." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 65, no. 1 (August 1998): 51–67. http://dx.doi.org/10.1017/s1446788700039392.

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AbstractIfM2nis a cohomologyCPnandPis an odd prime, letGpbe the cyclic group of orderp. A TypeI I0Gpaction onM2nis an action with fixed point set a codimension-2 submanifold and an isolated point. A TypeI I0Gpaction is standard if it is regular and the degree of the fixed codimension-2 submanifold is one. If n is odd and M2nadmits a standardGpaction of TypeI I0, then every TypeI I0GpactionM2nis standard and so, if n is odd,CPnadmits aGpaction of TypeI I0if and only if the action is standard.
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LEMAIRE, L., and J. C. WOOD. "ON THE SPACE OF HARMONIC 2-SPHERES IN CP2." International Journal of Mathematics 07, no. 02 (April 1996): 211–25. http://dx.doi.org/10.1142/s0129167x96000128.

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Carrying further the work of T.A. Crawford, we show that each component of the space of harmonic maps from the 2-sphere to complex projective 2-space of degree d and energy 4πE is a smooth closed submanifold of the space of all Cj maps (j≥2). We achieve this by showing that the Gauss transform which relates them to spaces of holomorphic maps of given degree and ramification index is smooth and has injective differential.
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Wen, Wen-Yu. "Thermodynamic metric of deformed Schwarzschild black holes." International Journal of Modern Physics D 26, no. 10 (August 20, 2017): 1750106. http://dx.doi.org/10.1142/s0218271817501061.

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Thermodynamic metric usually works only for those black holes with more than one conserved charge, thereby excluding the Schwarzschild black hole. In this paper, however, different versions of thermodynamic metric are computed and compared for the Schwarzschild-like black hole by introducing new degrees of freedom. These new degrees of freedom have two purposes. First, the deformed metric may be treated offshell to the ordinary Schwarzschild black hole, and onshell physics corresponds to the submanifold by gauge fixing of this additional degree of freedom. In particular, the thermal Ricci scalar for the Schwarzschild black hole, though different for various deformations, can be obtained by switching off the deformation. Second, while deformed metric is treated onshell, a divergent Ricci scalar may signal an exotic phase in which new physical degrees of freedom manifest. This paper considers the new degree of freedom as the running Newton constant, a cutoff scale for regular black holes, a noncommutative deformation or the deformed parameter in the nonextensive Tsallis–Rènyi entropy.
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van der Schaft, Arjan, and Bernhard Maschke. "Geometry of Thermodynamic Processes." Entropy 20, no. 12 (December 4, 2018): 925. http://dx.doi.org/10.3390/e20120925.

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Since the 1970s, contact geometry has been recognized as an appropriate framework for the geometric formulation of thermodynamic systems, and in particular their state properties. More recently it has been shown how the symplectization of contact manifolds provides a new vantage point; enabling, among other things, to switch easily between the energy and entropy representations of a thermodynamic system. In the present paper, this is continued towards the global geometric definition of a degenerate Riemannian metric on the homogeneous Lagrangian submanifold describing the state properties, which is overarching the locally-defined metrics of Weinhold and Ruppeiner. Next, a geometric formulation is given of non-equilibrium thermodynamic processes, in terms of Hamiltonian dynamics defined by Hamiltonian functions that are homogeneous of degree one in the co-extensive variables and zero on the homogeneous Lagrangian submanifold. The correspondence between objects in contact geometry and their homogeneous counterparts in symplectic geometry, is extended to the definition of port-thermodynamic systems and the formulation of interconnection ports. The resulting geometric framework is illustrated on a number of simple examples, already indicating its potential for analysis and control.
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Liao, Qizheng, and J. Michael McCarthy. "On the Seven Position Synthesis of a 5-SS Platform Linkage." Journal of Mechanical Design 123, no. 1 (November 1, 1997): 74–79. http://dx.doi.org/10.1115/1.1330269.

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This paper builds on Innocenti’s polynomial solution for the 5-SS platform that generates a one-degree of freedom movement through seven specified spatial positions of a rigid body. We show that his 60×60 resultant can be reduced to one that is 10×10. We then actuate the linkage using a prismatic joint on the sixth leg and determine the trajectory of the reference point through the specified positions. The singularity submanifold of this associated 6-SS platform provides information about the movement characteristics of the 5-SS linkage.
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Neilson, Peter D., Megan D. Neilson, and Robin T. Bye. "A Riemannian Geometry Theory of Synergy Selection for Visually-Guided Movement." Vision 5, no. 2 (May 25, 2021): 26. http://dx.doi.org/10.3390/vision5020026.

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Bringing together a Riemannian geometry account of visual space with a complementary account of human movement synergies we present a neurally-feasible computational formulation of visuomotor task performance. This cohesive geometric theory addresses inherent nonlinear complications underlying the match between a visual goal and an optimal action to achieve that goal: (i) the warped geometry of visual space causes the position, size, outline, curvature, velocity and acceleration of images to change with changes in the place and orientation of the head, (ii) the relationship between head place and body posture is ill-defined, and (iii) mass-inertia loads on muscles vary with body configuration and affect the planning of minimum-effort movement. We describe a partitioned visuospatial memory consisting of the warped posture-and-place-encoded images of the environment, including images of visible body parts. We depict synergies as low-dimensional submanifolds embedded in the warped posture-and-place manifold of the body. A task-appropriate synergy corresponds to a submanifold containing those postures and places that match the posture-and-place-encoded visual images that encompass the required visual goal. We set out a reinforcement learning process that tunes an error-reducing association memory network to minimize any mismatch, thereby coupling visual goals with compatible movement synergies. A simulation of a two-degrees-of-freedom arm illustrates that, despite warping of both visual space and posture space, there exists a smooth one-to-one and onto invertible mapping between vision and proprioception.
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Zhang, Yang, Bo Pang, Xiankai Li, and Gang Chen. "Aerodynamic Shape Optimization with Grassmannian Shape Parameterization Method." Energies 15, no. 20 (October 19, 2022): 7722. http://dx.doi.org/10.3390/en15207722.

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The conventional method of optimizing the aerodynamic performance of an airfoil heavily depends on the confines of the design space. The design variables create a non-normalized space that is fragmented into several different clusters of airfoils. An approach that is data-driven and deforms airfoils over a Grassmannian submanifold is utilized in the work that is being presented here. The affine deformation, which includes camber and thickness, can be uncoupled from the method that is currently in use, and the operations that are performed on the airfoil shape can be made smooth enough to prevent unreasonable shapes from being produced. The CST method is also a part of the current study so that a comparison can be made between the two. A new method to describe the airfoil geometries over the Grassmannian space was generated using a dataset that contained 7007 different shapes of airfoils. These two methods are used to parameterize the subsonic (NACA0012) and transonic (RAE2822) airfoils, and the new method cuts the number of design variables from twelve to six, resulting in a reduction in overall complexity. The findings demonstrate that the new method maintains a high degree of consistency regardless of the flow conditions.
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Lárusson, Finnur. "Holomorphic Functions of Slow Growth on Nested Covering Spaces of Compact Manifolds." Canadian Journal of Mathematics 52, no. 5 (October 1, 2000): 982–98. http://dx.doi.org/10.4153/cjm-2000-041-0.

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AbstractLet Y be an infinite covering space of a projective manifold M in N of dimension n ≥ 2. Let C be the intersection with M of at most n − 1 generic hypersurfaces of degree d in N. The preimage X of C in Y is a connected submanifold. Let φ be the smoothed distance from a fixed point in Y in a metric pulled up from M. Let φ(X) be the Hilbert space of holomorphic functions f on X such that f2e−φ is integrable on X, and define φ(Y) similarly. Our main result is that (under more general hypotheses than described here) the restriction φ(Y) → φ(X) is an isomorphism for d large enough.This yields new examples of Riemann surfaces and domains of holomorphy in n with corona. We consider the important special case when Y is the unit ball in n, and show that for d large enough, every bounded holomorphic function on X extends to a unique function in the intersection of all the nontrivial weighted Bergman spaces on . Finally, assuming that the covering group is arithmetic, we establish three dichotomies concerning the extension of bounded holomorphic and harmonic functions from X to .
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Du, Li. "Classification of f-biharmonic submanifolds in Lorentz space forms." Open Mathematics 19, no. 1 (January 1, 2021): 1299–314. http://dx.doi.org/10.1515/math-2021-0084.

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Abstract In this paper, f-biharmonic submanifolds with parallel normalized mean curvature vector field in Lorentz space forms are discussed. When f f is a constant, we prove that such submanifolds have parallel mean curvature vector field with the minimal polynomial of the shape operator of degree ≤ 2 \le 2 . When f f is a function, we completely classify such pseudo-umbilical submanifolds.
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Dissertations / Theses on the topic "Degree of a Submanifold"

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Giovannardi, Gianmarco <1992&gt. "Variations for submanifolds of fixed degree." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amsdottorato.unibo.it/9322/3/Giovannardi_Gianmarco_tesi.pdf.

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The aim of this PhD thesis is to study the area functional for submanifolds immersed in an equiregular graded manifold. This setting, extends the sub-Riemannian one, removing the bracket generating condition. However, even in the sub-Riemannian setting only sub-manifolds of dimension or codimension one have been extensively studied. We will study the general case and observe that in higher codimension new phenomena arise, which can not show up in the Riemannian case. In particular, we will prove the existence of isolated surfaces, which do not admit degree preserving variation: a phenomena observed by now only for curves, related to the notion of abnormal geodesics.
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Thompson, James. "Submanifold bridge processes." Thesis, University of Warwick, 2015. http://wrap.warwick.ac.uk/79558/.

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We introduce and study submanifold bridge processes. Our method involves proving a general formula for the integral over a submanifold of the minimal heat kernel on a complete Riemannian manifold. Our formula expresses this object in terms of a stochastic process whose trajectories terminate on the submanifold at a fixed positive time. We study this process and use the formula to derive lower bounds, an asymptotic relation and derivative estimates. Using these results we introduce and characterize Brownian bridges to submanifolds. Before doing so we prove necessary estimates on the Laplacian of the distance function and define a notion of local time on a hypersurface. These preliminary developments also lead to a study of the distance between Brownian motion and a submanifold, in which we prove exponential bounds and concentration inequalities. This work is motivated by the desire to extend the analysis of path and loop space to measures on paths which terminate on a submanifold.
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Clarke, Daniel. "Integrability in submanifold geometry." Thesis, University of Bath, 2012. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.558890.

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This thesis concerns the relationship of submanifold geometry, in both the smooth and discrete sense, to representation theory and the theory of integrable systems. We obtain Lie theoretic generalisations of the transformation theory of projectively and Lie applicable surfaces, and M�obius-flat submanifolds of the conformal n-sphere. In the former case, we propose a discretisation. We develop a projective approach to centro-ane hypersurfaces, analogous to the conformal approach to submanifolds in spaceforms. This yields a characterisation of centro-ane hypersurfaces amongst M�obius-flat projective hypersurfaces using polynomial conserved quantities. We also propose a discretisation of curved flats in symmetric spaces. After developing the transformation theory for this, we see how Darboux pairs of discrete isothermicnets arise as discrete curved flats in the symmetric space of opposite point pairs. We show how discrete curves in the 2-sphere fit into this framework.
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Mathews, James Jr. "Curve Jets, Submanifold Families, and Envelopes." Thesis, State University of New York at Stony Brook, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10621813.

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Synthetic or qualitative methods can provide insight into geometric structures not apparent from the purely analytic point of view. For example, much of the geometry of a classical surface in Euclidean space is coded in the differential topology of its family of normal lines. This thesis extends the range of applicability of such methods by developing the basic theory of submanifold families in general, emphasizing higher-order contact phenomena and making use of the modern theory of jets. A main technical contribution is, in certain cases, the calculation of invariants of parameterized submanifold jets by the reparameterization group, a construction of the quotient varieties, and compactifications of these varieties.

As applications, in 2 dimensions we deduce: - a description of projective structures by (second order) tensorial data, - a characterization of the curve families realizable by geodesics for some connection, and a description of the connections in this case, and - a linearizability criterion for curve families, including d-webs for d > 3, and in higher dimensions: - general formulas for envelopes of submanifold families, including line envelopes for visual applications, and - a characterization of the extrinsic geometry of m-submanifolds in projective space RPn, for certain m, including a generalization of the classical Wilczynski equations for surfaces in RP3.

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Donaldson, Neil Malcolm. "Symmetric R-spaces : a submanifold geometry and transformation theory." Thesis, University of Bath, 2005. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.421253.

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Tiger, Norkvist Axel. "The noncommutative torus as a minimal submanifold of the noncommutative 3-sphere." Thesis, Linköpings universitet, Matematik och tillämpad matematik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-150891.

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In this thesis an algebraic structure, called real calculus, is used as a way to represent noncommutative manifolds in an algebraic setting. Several classical geometric concepts are defined for real calculi, such as metrics and affine connections, and real calculus homomorphisms are introduced. These homomorphisms are then used to define embeddings of real calculi representing manifolds, anda notion of minimal embedding is introduced. The motivating example of the thesis is the noncommutative torus as embedded into a localization of the noncommutative 3-sphere, where it is shown that the noncommutative torus is a minimal embedding of the noncommutative 3-sphere for certain perturbations of the standard metric.
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Nishinou, Takeo. "Lagrangian submanifold associated with a degenerating family of stable bundles on T4." 京都大学 (Kyoto University), 2003. http://hdl.handle.net/2433/149037.

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Tacy, Melissa Evelyn, and melissa tacy@anu edu au. "Semiclassical Lp Estimates for Quasimodes on Submanifolds." The Australian National University. Department of Mathematics, College of Physical & Mathematical Sciences, 2010. http://thesis.anu.edu.au./public/adt-ANU20100622.150105.

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Motivated by the desire to understand classical-quantum correspondences, we study concentration phenomena of approximate eigenfunctions of a semiclassical pseudodifferential operator $P(h)$. Such eigenfunctions appear as steady state solutions of quantum systems. Here we think of $h$ as being a small parameter such that $h^{2}$ is inversely proportional to the energy of such a system. As we understand classical mechanics to be the high energy (or small $h$) limit of quantum mechanics we expect the behaviour of eigenfunctions $u(h)$ for small $h$ to be related to properties of the associated classical system. In particular we study the connection between the classical flow and the quantum concentration properties. The flow, $(x(t),\xi(t))$, of a classical system describes the system's motion through phase space where $x(t)$ is interpreted as position and $\xi(t)$ is interpreted as momentum. In the quantum regime we think of an eigenfunction as being composed of highly localised packets moving along bicharacteristics of the classical flow. With this intuition we relate concentration of eigenfunctions in a region to the time spent by projections of bicharacteristics there. We use the $L^{p}$ norm of $u$ when restricted to submanifolds as a measure of concentration. A high $L^{p}$ norm particularly for small $p$ is indicative of concentration near the submanifold. We reduce the estimates on eigenfunctions to operator norm estimates on associated evolution operators. Using the semiclassical analysis methods developed in Chapter 3 we express these evolution operators as oscillatory integral operators. Chapter 2 covers the technical background needed to work with such operators. In Chapter 4 we determine eigenfunction estimates for eigenfunctions restricted to a smooth embedded submanifold $Y$ of arbitrary dimension. If $Y$ is a hypersurface, the greatest concentration occurs when there are bicharacteristics of the classical flow embedded in $Y$. In Chapter 5 we assume that projections of such bicharacteristics can be at worst simply tangent to $Y$ and thereby obtain better results for small values of $p$.
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Smith, Jack Edward. "Symmetry in monotone Lagrangian Floer theory." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/267745.

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In this thesis we study the self-Floer theory of a monotone Lagrangian submanifold $L$ of a closed symplectic manifold $X$ in the presence of various kinds of symmetry. First we consider the group $\mathrm{Symp}(X, L)$ of symplectomorphisms of $X$ preserving $L$ setwise, and extend its action on the Oh spectral sequence to coefficients of arbitrary characteristic, working over an enriched Novikov ring. This imposes constraints on the differentials in the spectral sequence which force them to vanish in certain situations. We then specialise to the case where $L$ is $K$-homogeneous for a compact Lie group $K$, meaning roughly that $X$ is Kaehler, $K$ acts on $X$ by holomorphic automorphisms, and $L$ is a Lagrangian orbit. By studying holomorphic discs with boundary on $L$ we compute the image of low codimension $K$-invariant subvarieties of $X$ under the length zero closed-open string map. This places restrictions on the self-Floer cohomology of $L$ which generalise and refine the Auroux-Kontsevich-Seidel criterion. These often result in the need to work over fields of specific positive characteristics in order to obtain non-zero cohomology. The disc analysis is then developed further, with the introduction of the notion of poles and a reflection mechanism for completing holomorphic discs into spheres. This theory is applied to two main families of examples. The first is the collection of four Platonic Lagrangians in quasihomogeneous threefolds of $\mathrm{SL}(2, \mathbb{C})$, starting with the Chiang Lagrangian in $\mathbb{CP}^3$. These were previously studied by Evans and Lekili, who computed the self-Floer cohomology of the latter. We simplify their argument, which is based on an explicit construction of the Biran-Cornea pearl complex, and deal with the remaining three cases. The second is a family of $\mathrm{PSU}(n)$-homogeneous Lagrangians in products of projective spaces. Here the presence of both discrete and continuous symmetries leads to some unusual properties: in particular we obtain non-displaceable monotone Lagrangians which are narrow in a strong sense. We also discuss related examples including applications of Perutz's symplectic Gysin sequence and quilt functors. The thesis concludes with a discussion of directions for further research and a collection of technical appendices.
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Matushansky, Ora. "Movement of degree/degree of movement." Thesis, Massachusetts Institute of Technology, 2002. http://hdl.handle.net/1721.1/8149.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Linguistics and Philosophy, 2002.
Includes bibliographical references (leaves 190-196).
In this project we examine the DP-internal behavior of degree operators contained in attributive extended APs, specifically degree fronting (so sunny a day) and degree right extraposition (a day sunny enough). We argue that both processes have to do with the scope of the degree operator, namely, that degree fronting is a diagnostic of clausal scope of the degree operator, while right extraposition is overt QR to the DP-internal landing site where a quantifier can be interpreted. We first show that pre-determiner APs in Germanic languages (so sunny a day) are moved to [Spec, NumP] only if they contain a degree operator, i.e. an element that cannot be interpreted in situ. We will then show that the appearance of the adjectival projection in that position is due to pied-piping, and that different degree operators behave differently with respect to how much material is moved overtly (pied-piping). We then turn to right extraposition. We will show that it can be differentiated from other cases traditionally denoted by the same term (e.g. a professor proud of her children). On the other hand, it has certain properties permitting to assimilate it to DP-extraposition to the right periphery of the vP (Heavy NP Shift) - it has new information status and permits stranding of the argument of the degree operator (a more interesting problem than this). These and similar factors suggest that right extraposition of degree-containing extended APs is overt QR of the degree operator accompanied by more or less pied-piping. The overall picture seems to be that QR an overt movement processes examined for clausal projections exist in nominal projections as well and have similar properties.
by Ora Mitchell Matushansky.
Ph.D.
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Books on the topic "Degree of a Submanifold"

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Dajczer, Marcos, and Ruy Tojeiro. Submanifold Theory. New York, NY: Springer US, 2019. http://dx.doi.org/10.1007/978-1-4939-9644-5.

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Palais, Richard S., and Chuu-liang Terng. Critical Point Theory and Submanifold Geometry. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0087442.

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Palais, Richard S. Critical point theory and submanifold geometry. Berlin: Springer-Verlag, 1988.

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Dinca, George, and Jean Mawhin. Brouwer Degree. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-63230-4.

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Iles, Greg. Third degree. London: Harper, 2014.

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Art, Glasgow School of. Degree show. Glasgow: Glasgow School of Art, 1990.

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Iles, Greg. Third degree. New York [etc.]: Pocket Books., 2008.

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James, Patterson. 3rd degree. New York: Time Warner Book Group, 2004.

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Great Britain. Energy Efficiency Office. and Great Britain. Central Office of Information., eds. Degree days. London: Energy Efficiency Office, 1987.

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Third degree. Waterville, Me: Large Print Press, 2008.

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Book chapters on the topic "Degree of a Submanifold"

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Citti, Giovanna, Gianmarco Giovannardi, Manuel Ritoré, and Alessandro Sarti. "Submanifolds of Fixed Degree in Graded Manifolds for Perceptual Completion." In Lecture Notes in Computer Science, 47–55. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-80209-7_6.

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Dubrovin, B. A., S. P. Novikov, and A. T. Fomenko. "The Degree of a Mapping. The Intersection Index of Submanifolds. Applications." In Graduate Texts in Mathematics, 99–134. New York, NY: Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4612-1100-6_3.

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Kramer, Oliver. "Kernel and Submanifold Learning." In Dimensionality Reduction with Unsupervised Nearest Neighbors, 93–111. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-38652-7_7.

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Betounes, David. "Motion on a Submanifold." In Differential Equations: Theory and Applications, 463–540. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-4971-7_10.

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Djorić, Mirjana, and Masafumi Okumura. "Codimension reduction of a submanifold." In CR Submanifolds of Complex Projective Space, 89–94. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-0434-8_14.

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Djorić, Mirjana, and Masafumi Okumura. "Structure equations of a submanifold." In CR Submanifolds of Complex Projective Space, 27–37. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-0434-8_5.

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Dajczer, Marcos, and Ruy Tojeiro. "The Basic Equations of a Submanifold." In Universitext, 1–61. New York, NY: Springer US, 2019. http://dx.doi.org/10.1007/978-1-4939-9644-5_1.

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Furuhata, Hitoshi, and Izumi Hasegawa. "Submanifold Theory in Holomorphic Statistical Manifolds." In Geometry of Cauchy-Riemann Submanifolds, 179–215. Singapore: Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-0916-7_7.

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Kramer, Oliver. "Fast Submanifold Learning with Unsupervised Nearest Neighbors." In Adaptive and Natural Computing Algorithms, 317–25. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-37213-1_33.

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Palais, Richard S., and Chuu-liang Terng. "Preliminaries." In Critical Point Theory and Submanifold Geometry, 3–24. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0087443.

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Conference papers on the topic "Degree of a Submanifold"

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Yu, Jingjun, Jian S. Dai, Xin-Jun Liu, Shusheng Bi, and Guanghua Zong. "Type Synthesis of 3-DOF Translational Parallel Manipulators Based on Atlas of DOF Characteristic Matrix." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99321.

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Low-degree-of-freedom (Low-DOF) parallel manipulators (PMs) have drawn extensive interest, particularly in type synthesis in which two main approaches were established in the reciprocal screw system theory and Lie group theory. This paper aims at proposing a new type synthesis method to complementing the above methods. For this purpose, the concept of the DOF characteristic matrix, originated from displacement subgroup and displacement submanifold, is proposed. A new but general approach based on the atlas of DOF Characteristic Matrix is addressed for both exhaustive classification and type synthesis of low-DOF PMs. Compared to the method based on Lie group, the proposed approach is prone to construct an orthogonal structure and easy to realize the complete classification and exhaustive enumeration of a class of low-DOF PM. In order to verify the effectiveness of the proposed method, type synthesis of Translational PMs (TPMs) particularly in ones with an orthogonal structure is performed, resulting in some novel orthogonal TPMs.
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Retinskiy, Dmitry. "SUBMANIFOLD SPARSE CONVOLUTIONAL NETWORKS." In 2019 Kidney Tumor Segmentation Challenge: KiTS19. University of Minnesota Libraries Publishing, 2019. http://dx.doi.org/10.24926/548719.085.

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Brand, M. "From Subspace to Submanifold Methods." In British Machine Vision Conference 2004. British Machine Vision Association, 2004. http://dx.doi.org/10.5244/c.18.2.

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Li, Ang, Jianzhong Qi, Rui Zhang, Xingjun Ma, and Kotagiri Ramamohanarao. "Generative Image Inpainting with Submanifold Alignment." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. California: International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/114.

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Image inpainting aims at restoring missing regions of corrupted images, which has many applications such as image restoration and object removal. However, current GAN-based generative inpainting models do not explicitly exploit the structural or textural consistency between restored contents and their surrounding contexts. To address this limitation, we propose to enforce the alignment (or closeness) between the local data submanifolds (subspaces) around restored images and those around the original (uncorrupted) images during the learning process of GAN-based inpainting models. We exploit Local Intrinsic Dimensionality (LID) to measure, in deep feature space, the alignment between data submanifolds learned by a GAN model and those of the original data, from a perspective of both images (denoted as iLID) and local patches (denoted as pLID) of images. We then apply iLID and pLID as regularizations for GAN-based inpainting models to encourage two different levels of submanifold alignments: 1) an image-level alignment to improve structural consistency, and 2) a patch-level alignment to improve textural details. Experimental results on four benchmark datasets show that our proposed model can generate more accurate results than state-of-the-art models.
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Labisch, Daniel, and Ulrich Konigorski. "Attractive invariant submanifold-based coupling controller design." In 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011). IEEE, 2011. http://dx.doi.org/10.1109/cdc.2011.6160421.

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Jankovic, M. V., and B. Reljin. "Neural Learning on Grassman/Stiefel Principal/Minor Submanifold." In EUROCON 2005 - The International Conference on "Computer as a Tool". IEEE, 2005. http://dx.doi.org/10.1109/eurcon.2005.1629907.

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Graham, Benjamin, Martin Engelcke, and Laurens van der Maaten. "3D Semantic Segmentation with Submanifold Sparse Convolutional Networks." In 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2018. http://dx.doi.org/10.1109/cvpr.2018.00961.

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Ouyang, Chongzhen, and Tianzhen Qiu. "QUADRIC REPRESENTATION OF A SUBMANIFOLD IN PSEUDO-EUCLIDEAN SPACE." In Differential Geometry in Honor of Professor S S Chern. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792051_0019.

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Carter, Sheila, and Alan West. "SOME RELATIONS BETWEEN A SUBMANIFOLD AND ITS FOCAL SET." In Geometry and Topology of Submanifolds IX. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789812817976_0007.

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Rani, Asha, Manisha Verma, and Balasubramanian Raman. "Fusion of submanifold and local texture features for palmprint authentication." In 2015 Visual Communications and Image Processing (VCIP). IEEE, 2015. http://dx.doi.org/10.1109/vcip.2015.7457848.

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Reports on the topic "Degree of a Submanifold"

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Matsutani, Shigeki. On the Essential Algebraic Aspects of Submanifold Quantum Mechanics. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-2-2004-18-26.

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Hsia, J. J., and P. Yvonne Barnes. [45 degree] 0 [degree] reflectance factors of pressed polytetrafluoroethylene (PTFE) powder. Gaithersburg, MD: National Bureau of Standards, 1995. http://dx.doi.org/10.6028/nist.tn.1413.

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Taylor, Rebecca. Designing Undergraduate Degree Programmes. The Economics Network, September 2002. http://dx.doi.org/10.53593/n734a.

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Price, Ken. Human services AA degree programs. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.2771.

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Cumby, R. (Wall and zero-degree calorimeters). Office of Scientific and Technical Information (OSTI), December 1986. http://dx.doi.org/10.2172/5609559.

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McManus, Ashley P., Tamara L. Townsend, and E. J. Metzger. Creation and Modification of 1/8 degree and 1/16 degree Subtropical Gyre Atlantic Topographies. Fort Belvoir, VA: Defense Technical Information Center, May 1997. http://dx.doi.org/10.21236/ada458630.

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Stevens, Alan J. Dose estimate for zero-degree calorimeters. Office of Scientific and Technical Information (OSTI), December 1997. http://dx.doi.org/10.2172/1118851.

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Wicklund, A. B. Z degree yields hadrons in SDC. Office of Scientific and Technical Information (OSTI), August 1991. http://dx.doi.org/10.2172/5255022.

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Pointer, Beverly A. Leadership Development: A 360 Degree Approach. Fort Belvoir, VA: Defense Technical Information Center, January 1996. http://dx.doi.org/10.21236/ada308601.

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Garton, Byron. Growing Degree Days Model user’s guide. Engineer Research and Development Center (U.S.), July 2019. http://dx.doi.org/10.21079/11681/33562.

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