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Displaying 381 – 400 of 529

Continuity of the bending map

Cyril Lecuire (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

The bending map of a hyperbolic $3$ -manifold maps a convex cocompact hyperbolic metric on a $3$ -manifold with boundary to its bending measured geodesic lamination. As proved in [KeS] and [KaT], this map is continuous. In the present paper we study the extension of this map to the space of geometrically finite hyperbolic metrics. We introduce a relationship on the space of measured geodesic laminations and show that the quotient map obtained from the bending map is continuous.

Continuity properties of the injectivity radius function

Paul E. Ehrlich (1974)

Compositio Mathematica

Continuous families of isospectral metrics on simply connected manifolds.

Schueth, Dorothee (1999)

Annals of Mathematics. Second Series

Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature.

G. Huisken (1986)

Inventiones mathematicae

Contraction semigroups and representations.

Karl-Hermann Neeb (1994)

Forum mathematicum

Contributions of rational homotopy theory to global problems in geometry

Karsten Grove, Stephen Halperin (1982)

Publications Mathématiques de l'IHÉS

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 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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