Higher rank rigidity for Berwald spaces
Dynamical Systems
2020-06-10 v3 Differential Geometry
Abstract
We generalize the higher rank rigidity theorem to a class of Finsler spaces, i.e. Berwald spaces. More precisely, we prove that a complete connected Berwald space of finite volume and bounded nonpositive flag curvature with rank at least whose universal cover is irreducible, is a locally symmetric space or a locally Minkowski space.
Keywords
Cite
@article{arxiv.1510.04476,
title = {Higher rank rigidity for Berwald spaces},
author = {Weisheng Wu},
journal= {arXiv preprint arXiv:1510.04476},
year = {2020}
}
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25 pages