Comparison theorems in Finsler geometry and their applications |
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| Authors: | B Y Wu Y L Xin |
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| Institution: | (1) Department of Mathematics, Minjiang University, Fuzhou, 350108, Fujian, China;(2) Institute of Mathematics and the Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai, 200433, China |
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| Abstract: | We prove Hessian comparison theorems, Laplacian comparison theorems and volume comparison theorems for Finsler manifolds under various curvature conditions. As applications, we derive McKean type theorems for the first eigenvalue of Finsler manifolds, as well as generalize to Finsler manifolds a result on fundamental groups due to Milnor.The research of the Y. L. Xin was partially supported by NSFC of and SFECC. |
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| Keywords: | Primary 53C60 Secondary 53B40 |
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