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Displaying 161 – 180 of 938

Constructing equivariant maps for representations

Stefano Francaviglia (2009)

Annales de l’institut Fourier

We show that if $Γ$ is a discrete subgroup of the group of the isometries of $ℍ^{k}$ , and if $ρ$ is a representation of $Γ$ into the group of the isometries of $ℍ^{n}$ , then any $ρ$ -equivariant map $F : ℍ^{k} \to ℍ^{n}$ extends to the boundary in a weak sense in the setting of Borel measures. As a consequence of this fact, we obtain an extension of a result of Besson, Courtois and Gallot about the existence of volume non-increasing, equivariant maps. Then, we show that the weak extension we obtain is actually a measurable $ρ$ -equivariant...

Contact homogeneity and envelopes of Riemannian metrics.

Kowalski, Oldřich, Nikčević, Stana Ž. (1998)

Beiträge zur Algebra und Geometrie

Contact manifolds, harmonic curvature tensor and $(k, μ)$ -nullity distribution

Basil J. Papantoniou (1993)

Commentationes Mathematicae Universitatis Carolinae

In this paper we give first a classification of contact Riemannian manifolds with harmonic curvature tensor under the condition that the characteristic vector field $ξ$ belongs to the $(k, μ)$ -nullity distribution. Next it is shown that the dimension of the $(k, μ)$ -nullity distribution is equal to one and therefore is spanned by the characteristic vector field $ξ$ .

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.

Currently displaying 161 – 180 of 938

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Displaying 161 – 180 of 938

Constructing equivariant maps for representations

Contact homogeneity and envelopes of Riemannian metrics.

Contact manifolds, harmonic curvature tensor and $(k, μ)$ -nullity distribution

Continuity of the bending map

Continuity properties of the injectivity radius function

Continuous families of isospectral metrics on simply connected manifolds.

Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature.

Contributions of rational homotopy theory to global problems in geometry

Convergence and rigidity of manifolds under Ricci curvature bounds.

Convergence of riemannian manifolds

Convergence of riemannian manifolds with integral bounds on curvature. II

Convergence of riemannian manifolds with integral bounds on curvature. I

Convergence to equilibrium and logarithmic Sobolev constant on manifolds with Ricci curvature bounded below

Convex functions on complete noncompact manifolds : differentiable structure

Convex Functions on Complete Noncompact Manifolds: Topological Structure.

Convex isometric folding.

Correction to : “On isospectral deformations of riemannian metrics. II”

Correction to "On the characterization of flat metrics by the spectrum"

Correction to the paper: Homogeneous Einstein metrics on Stiefel manifolds

Courbure des sommes de métriques

Currently displaying 161 – 180 of 938