Finsler manifolds without conjugate points and with integral Ricci curvature

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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
DOI
10.1007/s11856-011-0129-y
URI
http://hdl.handle.net/10203/103762
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