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| Eigenvalue Comparison Theorems on Finsler Manifolds |
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Citation： |
Songting YIN,Qun HE.Eigenvalue Comparison Theorems on Finsler Manifolds[J].Chinese Annals of Mathematics B,2015,36(1):31~44 |
| Page view： 2268
Net amount： 1752 |
Authors： |
Songting YIN; Qun HE; |
Foundation： |
the National Natural Science Foundation of China (Nos. 11471246,
11171253) and the Natural Science Foundation of the Anhui Higher Education Institutions
(No.KJ2014A257). |
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| 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 |
Classification： |
53C60, 35P15 |
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