On the first eigenvalue of the mean finsler-laplacian |
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Authors: | Qun HE Fanqi ZENG Daxiao ZENG |
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Institution: | 1. Schoolof Mathematical Sciences, Tongji University, Shanghai 200092, China;2. Department of Mathematics, Anhui Normal University, Wuhu, Anhui 241002, China |
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Abstract: | In this paper, we prove that several different definitions of the Finsler-Laplacian are equivalent. Then we prove that any Berwald metric is affinely equivalent to its mean metric and give some upper or lower bound estimates for the first eigenvalue of the mean Laplacian on Berwald manifolds, which generalize some results in Riemannian geometry. |
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Keywords: | Finsler-Laplacian mean metric mean Laplacian first eigenvalue 53C60 58B20 35J05 |
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