Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Some new lower bounds of the first eigenvalue on Finsler manifolds
Song-Ting YinQun HeDa-Xiao Zheng
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2016 年 39 巻 2 号 p. 318-339

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We establish some unified lower bounds for the first Neumann and closed eigenvalues of the Finsler-Laplacian on compact Finsler manifolds under the weighted Ricci curvature conditions, which extend some recent theorems on the first eigenvalue of the Riemannian-Laplacian. Moreover, the Lichnerowicz type lower bound for the first Dirichlet eigenvalue of the Finsler-Laplacian is also obtained.
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© 2016 Department of Mathematics, Tokyo Institute of Technology
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