Eigenvalue Comparison Theorems on Finsler Manifolds

Citation:

Songting YIN,Qun HE.Eigenvalue Comparison Theorems on Finsler Manifolds[J].Chinese Annals of Mathematics B,2015,36(1):31~44
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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).
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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