On Horospherical Rigidity

Fuente: arXiv
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Hauptverfasser: Besson, Gérard, Courtois, Gilles, Hersonsky, Sa'ar
Format: Preprint
Veröffentlicht: 2024
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author Besson, Gérard
Courtois, Gilles
Hersonsky, Sa'ar
author_facet Besson, Gérard
Courtois, Gilles
Hersonsky, Sa'ar
contents We provide intrinsic conditions on the geometry of horospheres in a closed, negatively curved Riemannian manifold of dimension greater than or equal to 3, which guarantee that the sectional curvature is constant.
format Preprint
id arxiv_https___arxiv_org_abs_2411_15093
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Horospherical Rigidity
Besson, Gérard
Courtois, Gilles
Hersonsky, Sa'ar
Differential Geometry
53C21
We provide intrinsic conditions on the geometry of horospheres in a closed, negatively curved Riemannian manifold of dimension greater than or equal to 3, which guarantee that the sectional curvature is constant.
title On Horospherical Rigidity
topic Differential Geometry
53C21
url https://arxiv.org/abs/2411.15093