Finsler manifolds without conjugate points and with integral Ricci curvature |
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| Authors: | Chang-Wan Kim |
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| Affiliation: | 1.Department of Mathematical Sciences,Korea Advanced Institute of Science and Technology,Daejeon,Republic of Korea |
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| Abstract: | ![]()
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. |
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