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arXiv · 2411.15093

On Horospherical Rigidity

Gérard Besson·Gilles Courtois·Sa'ar Hersonsky
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Abstract

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.

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Gérard Besson, Gilles Courtois, Sa'ar Hersonsky. 2024-11-22. On Horospherical Rigidity. https://arxiv.org/abs/2411.15093

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