On Horospherical Rigidity
Differential Geometry
2024-11-25 v1
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.
Cite
@article{arxiv.2411.15093,
title = {On Horospherical Rigidity},
author = {Gérard Besson and Gilles Courtois and Sa'ar Hersonsky},
journal= {arXiv preprint arXiv:2411.15093},
year = {2024}
}