Finsler manifolds without conjugate points and with integral Ricci curvature
We prove that the integral of the Ricci curvature on the unit tangent bundle SM of a complete Finsler manifold M without conjugate points is nonpositive and vanishes only if M is flat, provided that the Ricci curvature on SM has an integrable positive or negative part.
- Publisher
- HEBREW UNIV MAGNES PRESS
- Issue Date
- 2012-06
- Language
- English
- Article Type
- Article
- Keywords
RIGIDITY; SURFACES; TORI
- Citation
ISRAEL JOURNAL OF MATHEMATICS, v.189, no.1, pp.135 - 146
- ISSN
- 0021-2172
- Appears in Collection
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