Literatura académica sobre el tema "Variétés de Grassmann"
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Tesis sobre el tema "Variétés de Grassmann"
Masala, Giovanni Batista. "Trigonométrie et polyèdres dans les variétés de Grassmann G2 (Rn)". Mulhouse, 1996. http://www.theses.fr/1996MULH0427.
Texto completoSemlali, Abdelhay. "Grassmanniennes de dimension infinie, groupes de lacets et opérateur vertex". Metz, 1996. http://docnum.univ-lorraine.fr/public/UPV-M/Theses/1996/Semlali.Abdelhay.SMZ9646.pdf.
Texto completoIn the first part of this work, we studied the infinite dimensional Grassmannians of a separable Hilbert space. More exactly, the link between hilbertian grassmannians and its connected components, the restricted general linear group, and the open sets covering of this hilbertian grassmannian. We studied also the connected components of a dense grassmannian of a hilbertian grassmannian, the link between its connected components and its cellular Schubert decomposition. At the end of this part, we show the topologic relation existing between the infinite dimensional grassmannians and the finite dimensional once. In the second part of this work, we studied the link between the loop groups and the grassmannians, we studied also the operator vertex's action on the grassmannian's elements associated to the tau function
Amine, Semaan Elias. "Lower-mobility parallel manipulators : geometrical analysis, singularities and conceptual design". Ecole Centrale de Nantes, 2011. http://www.theses.fr/2011ECDN0057.
Texto completoThis PhD thesis report deals with the geometrical analysis, the singularities and the conceptual design of lower-mobility parallel manipulators. Its main contributions consist in the formulation of a systematic method to analyze the singularities of lower-mobility parallel manipulators based on Grassmann-Cayley algebra and Grassmann geometry and an approach for the conceptual design of such manipulators based on their singularity conditions. The report is composed of six chapters. The first chapter enumerates the general characteristics of the manipulators under study and provides a state of the art on the singularities and the different methods for their determination. The second chapter recalls the fundamental concepts and tools required for the compre-hension of the methods and contributions of this PhD thesis. The third chapter develops, through several case studies, a method for the constraint analysis of lower-mobility parallel manipulators and introduces the concept of wrench graph in the 3-dimensional projective space. This wrench graph is useful for the singularity analysis and provides a conceptual aspect. The fourth chapter presents a systematic method for the singularity analysis of lower-mobility parallel manipulators based on Grassmann-Cayley algebra. This method allows the determina-tion of the parallel singularity conditions of the studied manipulator algebraically, geometrically and in a vector form and the description of the uncontrollable motions of the moving platform in these singular configurations. The fifth chapter introduces some concepts that make it possible to use Grassmann geometry for the singularity analysis of lower-mobility parallel manipulators and highlights the correspondence and the complementarity of Grassmann-Cayley algebra and Grassmann geometry in the singularity analysis of such manipulators. Finally, the sixth chapter introduces a procedure for the type synthesis of parallel Schönflies motion generators based on the concept of wrench graph, the Grassmann-Cayley algebra and the Grassmann geometry. This procedure allows one to take into account the singularities at the conceptual design of such manipulators
Gmira, Seddik. "Etude géométrique des suites d'immersions conformes du disque". Lyon 1, 1993. http://www.theses.fr/1993LYO10037.
Texto completoSchäfer, Lars. "Geometrie tt* et applications pluriharmoniques". Nancy 1, 2006. http://www.theses.fr/2006NAN10041.
Texto completoIn this work we introduce the real differential geometric notion of a tt*-bundle (E,D,S), a metric tt*-bundle (E,D,S,g) and a symplectic tt*-bundle (E,D,S,omega) on an abstract vector bundle E over an almost complex manifold (M,J). With this notion we construct, generalizing Dubrovin, a correspondence between metric tt*-bundles over complex manifolds (M,J) and admissible pluriharmonic maps from (M,J) into the pseudo-Riemannian symmetric space GL(r,R)/O(p,q) where (p,q) is the signature of the metric g. Moreover, we show a rigidity result for tt*-bundles over compact Kähler manifolds and we obtain as application a special case of Lu's theorem. In addition we study solutions of tt*-bundles (TM,D,S) on the tangent bundle TM of (M,J) and characterize an interesting class of these solutions which contains special complex manifolds and flat nearly Kähler manifolds. We analyze which elements of this class admit metric or symplectic tt*-bundles. Further we consider solutions coming from varitations of Hodge structures (VHS) and harmonic bundles. Applying our correspondence to harmonic bundles we generalize a correspondence given by Simpson. Analyzing the associated pluriharmonic maps we obtain roughly speaking for special Kähler manifolds the dual Gauss map and for VHS of odd weight the period map. In the case of non-integrable complex structures, we need to generalize the notions of pluriharmonic maps and some results. Apart from the rigidity result we generalize all above results to para-complex geometry
Banos, Bertrand. "Opérateurs de Monge-Ampère symplectiques en dimensions 3 et 4". Angers, 2002. http://www.theses.fr/2002ANGE0041.
Texto completoNiglio, Louis. "Classes caractéristiques lagrangiennes". Montpellier 2, 1987. http://www.theses.fr/1987MON20282.
Texto completoMosquera, Meza Rolando. "Interpolation sur les variétés grassmanniennes et applications à la réduction de modèles en mécanique". Thesis, La Rochelle, 2018. http://www.theses.fr/2018LAROS008/document.
Texto completoThis dissertation deals with interpolation on Grassmann manifolds and its applications to reduced order methods in mechanics and more generally for systems of evolution partial differential systems. After a description of the POD method, we introduce the theoretical tools of grassmannian geometry which will be used in the rest of the thesis. This chapter gives this dissertation a mathematical rigor in the performed algorithms, their validity domain, the error estimate with respect to the grassmannian distance on one hand and also a self-contained character to the manuscript. The interpolation on Grassmann manifolds method introduced by David Amsallem and Charbel Farhat is afterward presented. This method is the starting point of the interpolation methods that we will develop in this thesis. The method of Amsallem-Farhat consists in chosing a reference interpolation point, mapping forward all interpolation points on the tangent space of this reference point via the geodesic logarithm, performing a classical interpolation on this tangent space and mapping backward the interpolated point to the Grassmann manifold by the geodesic exponential function. We carry out the influence of the reference point on the quality of the results through numerical simulations. In our first work, we present a grassmannian version of the well-known Inverse Distance Weighting (IDW) algorithm. In this method, the interpolation on a point can be considered as the barycenter of the interpolation points where the used weights are inversely proportional to the distance between the considered point and the given interpolation points. In our method, denoted by IDW-G, the geodesic distance on the Grassmann manifold replaces the euclidean distance in the standard framework of euclidean spaces. The advantage of our algorithm that we show the convergence undersome general assumptions, does not require a reference point unlike the method of Amsallem-Farhat. Moreover, to carry out this, we finally proposed a direct method, thanks to the notion of generalized barycenter instead of an earlier iterative method. However, our IDW-G algorithm depends on the choice of the used weighting coefficients. The second work deals with an optimal choice of the weighting coefficients, which take into account of the spatial autocorrelation of all interpolation points. Thus, each weighting coefficient depends of all interpolation points an not only on the distance between the considered point and the interpolation point. It is a grassmannian version of the Kriging method, widely used in Geographic Information System (GIS). Our grassmannian Kriging method require also the choice of a reference point. In our last work, we develop a grassmannian version of Neville's method which allow the computation of the Lagrange interpolation polynomial in a recursive way via the linear interpolation of two points. The generalization of this algorithm to grassmannian manifolds is based on the extension of interpolation of two points (geodesic/straightline) that we can do explicitly. This algorithm does not require the choice of a reference point, it is easy to implement and very quick. Furthermore, the obtained numerical results are notable and better than all the algorithms described in this dissertation
Molitor, Mathieu. "Grassmanniennes non-linéaires, groupes de difféomorphismes unimodulaires et quelques équations hamiltoniennes en dimension infinie". Metz, 2007. http://www.theses.fr/2007METZ015S.
Texto completoIn this thesis, we study the vortex filament equation, the Euler equation of an incompressible fluid which is G-invariant with respect to a Lie group action and we also study the non-linear grassmanniann. Our study is organized in three chapter and two appendices : in the first chapter, we study the local form of the vortex filament equation and we show that Hasimoto's trisk extends to the the case of a filament embedded in a general three-dimensional riemannian manifold. In the second chapter, we study the group of unimodular automorphisms of the total space of a principal bundle. We compute the Euler equations associated to this group and derive some short exact sequences. In the third chapter, we study the non-linear grassmannian, some geometrical structures on it and we consider also some hamiltonian equations associated. The first appendix treats the notion of differentiable calculus on a frechet space and the second is devoted to the group of unimodular diffeomorphisms of a compact manifold
Djament, Aurélien. "Représentations génériques des groupes linéaires : catégories de foncteurs en grassmaniennes, avec applications à la conjecture artinienne". Paris 13, 2006. http://www.theses.fr/2006PA132034.
Texto completoLibros sobre el tema "Variétés de Grassmann"
Gasqui, Jacques. Radon transforms and the rigidity of the Grassmannians. Princeton: Princeton University Press, 2004.
Buscar texto completoLevitt, N. Grassmannians and Gauss maps in piecewise-linear and piecewise-differentiable topology. Berlin: Springer-Verlag, 1989.
Buscar texto completoPankov, Mark. Geometry of Semilinear Embeddings: Relations to Graphs and Codes. World Scientific Publishing Co Pte Ltd, 2015.
Buscar texto completoKlein, Felix. Elementary Mathematics from an Advanced Standpoint: Geometry. Dover Publications, Incorporated, 2014.
Buscar texto completoKlein, Felix. Elementary Mathematics from an Advanced Standpoint: Geometry. Dover Publications, 2004.
Buscar texto completoKlein, Felix. Elementary Mathematics from an Advanced Standpoint: Geometry (Dover Books on Mathematics). Dover Publications, 2004.
Buscar texto completoKlein, Felix. Elementary Mathematics from an Advanced Standpoint: Geometry. Dover Publications, Incorporated, 2012.
Buscar texto completoKlein, Felix. Elementary MathematicsFrom an Advanced Standpoint. Creative Media Partners, LLC, 2018.
Buscar texto completoKlein, Felix. Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis. Cosimo Classics, 2007.
Buscar texto completoKlein, Felix. Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis. Dover Publications, Incorporated, 2013.
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