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higher rank rigidity

Ergodic Theory and Dynamical Systems (1)

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Higher rank rigidity for Berwald spaces
Part of
WEISHENG WU
Journal:

Ergodic Theory and Dynamical Systems / Volume 40 / Issue 7 / July 2020

Published online by Cambridge University Press:

18 December 2018, pp. 1991-2016

Print publication:

July 2020
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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 non-positive flag curvature with rank at least two whose universal cover is irreducible is a locally symmetric space or a locally Minkowski space.