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arXiv · 1510.04476

Higher rank rigidity for Berwald spaces

Weisheng Wu
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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 $2$ whose universal cover is irreducible, is a locally symmetric space or a locally Minkowski space.

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Weisheng Wu. 2015-10-15. Higher rank rigidity for Berwald spaces. https://doi.org/10.1017/etds.2018.130

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