Finsler Manifolds with Positive Constant Flag Curvature |
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| Authors: | Chang-wan Kim Jin-whan Yim |
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| Affiliation: | (1) Department of Mathematics, Korea Advanced Institute of Science and Technology, Gu-sung Dong, Yu-sung Gu, Taejon, 305-701, Korea |
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| Abstract: | It is shown that a Finsler metric with positive constant flag curvature and vanishing mean tangent curvature must be Riemannian. As applications, we also discuss the case of Cheng's maximal diameter theorem and Green's maximal conjugate radius theorem in Finsler manifolds. |
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| Keywords: | Finsler manifolds mean tangent curvature positive constant flag curvature |
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