The Cayley hyperbolic space and volume entropy rigidity
Differential Geometry
2022-03-29 v1
Abstract
Let be a Riemannian manifold with dimension greater or equal to which admits a complete, finite-volume Riemannian metric locally isometric to a rank-1 symmetric space of non-compact type. The volume entropy rigidity theorem asserts that minimizes a normalized volume growth entropy among all complete, finite-volume, Riemannian metric on . We will repair a gap in the proof when is locally isometric to the Cayley hyperbolic space.
Cite
@article{arxiv.2203.14418,
title = {The Cayley hyperbolic space and volume entropy rigidity},
author = {Yuping Ruan},
journal= {arXiv preprint arXiv:2203.14418},
year = {2022}
}