Compact Finsler manifolds without focal points
In this short note we prove that any Finsler torus without focal points is flat. Our method is based on comparison techniques on an associated Riccati equation and Birkhoff's Ergodic theorem applied to the geodesic flow on the unit tangent bundle.
- Publisher
- SPRINGER BASEL AG
- Issue Date
- 2012-10
- Language
- English
- Article Type
- Article
- Keywords
CONJUGATE-POINTS
- Citation
ARCHIV DER MATHEMATIK, v.99, no.4, pp.387 - 392
- ISSN
- 0003-889X
- Appears in Collection
- Files in This Item
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