Abstract
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.
Citation
Song-Ting Yin. Qun He. Da-Xiao Zheng. "Some new lower bounds of the first eigenvalue on Finsler manifolds." Kodai Math. J. 39 (2) 318 - 339, June 2016. https://doi.org/10.2996/kmj/1467830140