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Displaying 561 – 580 of 763

Contribution à l’histoire de la théorie des géodésiques au XIXe siècle

Philippe Nabonnand (1995)

Revue d'histoire des mathématiques

La théorie des géodésiques d’une surface se situe à l’intersection de plusieurs domaines : la géométrie différentielle, le calcul des variations, la théorie des équations différentielles et la mécanique. Au début du xixe siècle, la théorie locale des géodésiques est un exemple bien connu d’application des méthodes infinitésimales à la géométrie. Cependant, l’équation des géodésiques est trop difficile pour être résolue et les méthodes directes ne donnent que peu d’informations sur le comportement...

Contribution to the characterization of the sphere in $E^{3}$

Karel Svoboda (1979)

Archivum Mathematicum

Contribution to the theory of pseudocongruences with projective connection

Jaroslav Krejzlík (1981)

Archivum Mathematicum

Contributions of rational homotopy theory to global problems in geometry

Karsten Grove, Stephen Halperin (1982)

Publications Mathématiques de l'IHÉS

Contributions to Affine Surface Area.

Daniel Hug (1996)

Manuscripta mathematica

Contributions to polynomial conformal tensors

R. Gerlach, V. Wünsch (1999)

Annales de l'I.H.P. Physique théorique

Controlled constructions of Reeb fields and applications. (Constructions contrôlées de champs de Reeb et applications.)

Colin, Vincent, Honda, Ko (2005)

Geometry & Topology

Convergence and accuracy of approximation methods in general relativity. The time-independent case

Eckart Frehland (1976)

Annales de l'I.H.P. Physique théorique

Convergence and rigidity of manifolds under Ricci curvature bounds.

Michael T. Anderson (1990)

Inventiones mathematicae

Convergence de variétés et convergence du spectre du laplacien

B. Colbois, G. Courtois (1991)

Annales scientifiques de l'École Normale Supérieure

Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics

Francesca Da Lio, N. Forcadel, Régis Monneau (2008)

Journal of the European Mathematical Society

We prove the convergence at a large scale of a non-local first order equation to an anisotropic mean curvature motion. The equation is an eikonal-type equation with a velocity depending in a non-local way on the solution itself, which arises in the theory of dislocation dynamics. We show that if an anisotropic mean curvature motion is approximated by equations of this type then it is always of variational type, whereas the converse is true only in dimension two.

Convergence of a trajectory of a vector subspace under the action of linear map: general case.

Rešić, S., Antonevich, A.B., Dolićanin, Ć. (2007)

Novi Sad Journal of Mathematics

Convergence of Bergman geodesics on ${CP}^{1}$

Jian Song, Steve Zelditch (2007)

Annales de l’institut Fourier

The space $ℋ$ of Kähler metrics in a fixed Kähler class on a projective Kähler manifold $X$ is an infinite dimensional symmetric space whose geodesics $ω_{t}$ are solutions of a homogeneous complex Monge-Ampère equation in $A \times X$ , where $A \subset ℂ$ is an annulus. Phong-Sturm have proven that the Monge-Ampère geodesic of Kähler potentials $ϕ (t, z)$ of $ω_{t}$ may be approximated in a weak $C^{0}$ sense by geodesics $ϕ_{N} (t, z)$ of the finite dimensional symmetric space of Bergman metrics of height $N$ . In this article we prove that $ϕ_{N} (t, z) \to ϕ (t, z)$ in $C^{2} ([0, 1] \times X)$ in the case of...

Convergence of riemannian manifolds

Stefan Peters (1987)

Compositio Mathematica

Convergence of Riemannian manifolds and Laplace operators. I

Atsushi Kasue (2002)

Annales de l’institut Fourier

We study the spectral convergence of compact Riemannian manifolds in relation with the Gromov-Hausdorff distance and discuss the geodesic distances and the energy forms of the limit spaces.

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