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Eigenvalue Comparison Theorems on Finsler Manifolds |
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| Authors: | Songting YIN and Qun HE |
| Institution: | 1. Department of Mathematics, Tongji University, Shanghai 200092, China; Department of Mathematics and Computer Science, Tongling University, Tongling 244000, Anhui, China 2. Department of Mathematics, Tongji University, Shanghai 200092, China |
| Abstract: | Cheng-type inequality, Cheeger-type inequality and Faber-Krahn-type inequality are generalized to Finsler manifolds. For a compact Finsler manifold with the weighted Ricci curvature bounded from below by a negative constant, Li-Yau's estimation of the first eigenvalue is also given. |
| Keywords: | The first eigenvalue Finsler-Laplacian Ricci curvature S-Curvature |
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