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Higher rank rigidity for Berwald spaces
Part of:
Symplectic geometry, contact geometry
Dynamical systems with hyperbolic behavior
Global differential geometry
Published online by Cambridge University Press: 18 December 2018
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 non-positive flag curvature with rank at least two whose universal cover is irreducible is a locally symmetric space or a locally Minkowski space.
MSC classification
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- Original Article
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- © Cambridge University Press, 2018
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