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Bibliographies thématiques / Isolated submanifold

Littérature scientifique sur le sujet « Isolated submanifold »

Auteur : Grafiati

Publié le 10 mars 2023

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Articles de revues sur le sujet "Isolated submanifold"

1

Nie, Zhaohu. « The Secondary Chern–Euler Class for a General Submanifold ». Canadian Mathematical Bulletin 55, n^o 2 (1 juin 2012) : 368–77. http://dx.doi.org/10.4153/cmb-2011-077-8.

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AbstractWe define and study the secondary Chern–Euler class for a general submanifold of a Riemannian manifold. Using this class, we define and study the index for a vector field with non-isolated singularities on a submanifold. As an application, we give conceptual proofs of a result of Chern.

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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, n^o 1 (août 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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SLAPAR, MARKO. « CANCELLING COMPLEX POINTS IN CODIMENSION TWO ». Bulletin of the Australian Mathematical Society 88, n^o 1 (9 août 2012) : 64–69. http://dx.doi.org/10.1017/s0004972712000652.

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AbstractA generically embedded real submanifold of codimension two in a complex manifold has isolated complex points that can be classified as either elliptic or hyperbolic. In this paper we show that a pair consisting of one elliptic and one hyperbolic complex point of the same sign can be cancelled by a $\mathcal {C}^{0}$small isotopy of embeddings.

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4

Blázquez, C. Miguel. « Bifurcation from a homoclinic orbit in parabolic differential equations ». Proceedings of the Royal Society of Edinburgh : Section A Mathematics 103, n^o 3-4 (1986) : 265–74. http://dx.doi.org/10.1017/s0308210500018916.

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SynopsisThis paper considers autonomous parabolic equations which have a homoclinic orbit to an isolated equilibrium point. We study these systems under autonomous perturbations. Firstly we prove that the perturbation under which the homoclinicorbit persists forms a submanifold of codimension one. Then, if a perturbation of this manifold is considered, we prove that a unique stable periodic orbit arises from the homoclinic orbit under certain conditions for the eigenvalues of thesaddle point.

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Estudillo, Francisco J. M., et Alfonso Romero. « Generalized maximal surfaces in Lorentz–Minkowski space L3 ». Mathematical Proceedings of the Cambridge Philosophical Society 111, n^o 3 (mai 1992) : 515–24. http://dx.doi.org/10.1017/s0305004100075587.

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In this paper we carry out a systematic study of generalized maximal surfaces in Lorentz–Minkowski space L3, with emphasis on their branch points. Roughly speaking, such a surface is given by a conformal mapping from a Riemann surface S in L3. In the last years, several authors [1, 2, 5, 6] have dealt with regular maximal surfaces in L3, i.e. with isometric immersions, with zero mean curvature, of Riemannian 2-manifolds M in L3. So, the term ‘regular’ means free of branch points. As in the minimal case, a conformal structure is naturally induced on M, which becomes a Riemann surface S. The corresponding isometric immersion is then conformal on S, and it does not have any singular points on S (i.e. points on which the differential of the mapping is not one-to-one). This is the way in which generalized maximal surfaces include regular ones. Moreover, branch points are the singular points of the conformal mapping on S. Whereas branch points of generalized minimal surfaces are isolated, we shall show in Section 2 that, in addition to isolated branch points, a generalized maximal surface in L3. may have non-isolated ones, in fact they constitute a 1-dimensional submanifold in a certain open subset of S (see Section 2). So our purpose is two-fold, firstly to study and explain in detail the branch points, and secondly to state several geometric results involving prescribed behaviour of those points on the surface.

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Fukui, Toshizumi, et Juan J. Nuño-Ballesteros. « Isolated roundings and flattenings of submanifolds in Euclidean spaces ». Tohoku Mathematical Journal 57, n^o 4 (décembre 2005) : 469–503. http://dx.doi.org/10.2748/tmj/1140727069.

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Joyce, Dominic. « Special Lagrangian Submanifolds with Isolated Conical Singularities. I. Regularity ». Annals of Global Analysis and Geometry 25, n^o 3 (mai 2004) : 201–51. http://dx.doi.org/10.1023/b:agag.0000023229.72953.57.

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Ponsioen, S., T. Pedergnana et G. Haller. « Analytic prediction of isolated forced response curves from spectral submanifolds ». Nonlinear Dynamics 98, n^o 4 (1 juin 2019) : 2755–73. http://dx.doi.org/10.1007/s11071-019-05023-4.

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Joyce, Dominic. « Special Lagrangian Submanifolds with Isolated Conical Singularities. II. Moduli spaces ». Annals of Global Analysis and Geometry 25, n^o 4 (juin 2004) : 301–52. http://dx.doi.org/10.1023/b:agag.0000023230.21785.8d.

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Joyce, Dominic. « Special Lagrangian Submanifolds with Isolated Conical Singularities. v. Survey and Applications ». Journal of Differential Geometry 63, n^o 2 (janvier 2003) : 279–347. http://dx.doi.org/10.4310/jdg/1090426679.

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Thèses sur le sujet "Isolated submanifold"

1

Imagi, Yohsuke. « Surjectivity of a Gluing for Stable T2-cones in Special Lagrangian Geometry ». 京都大学 (Kyoto University), 2014. http://hdl.handle.net/2433/189337.

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Giovannardi, Gianmarco. « Variations for submanifolds of fixed degree ». Doctoral thesis, 2020. https://hdl.handle.net/2158/1287865.

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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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Livres sur le sujet "Isolated submanifold"

1

Buchweitz, Ragnar-Olaf. CR-geometry and deformations of isolated singularities. Providence, R.I : American Mathematical Society, 1997.

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