Some rigidity theorems for locally symmetrical Finsler manifolds |
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Authors: | Bing Ye Wu |
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Affiliation: | Department of Mathematics, Minjiang University, Fuzhou, Fujiang, 350108, China |
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Abstract: | In this paper we study some rigidity properties for locally symmetrical Finsler manifolds and obtain some results. We obtain the local equivalent characterization for a Finsler manifold to be locally symmetrical and prove that any locally symmetrical Finsler manifold with nonzero flag curvature must be Riemannian. We also generalize a rigidity result due to Akbar-Zadeh. |
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Keywords: | primary, 53C60 secondary, 53B40 |
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