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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… Click to show full 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.
Keywords:
berwald spaces;
rigidity berwald;
higher rank;
rank rigidity
Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2020
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Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!