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math.DG2018★ 1 cited
Lower bounds for eigenvalues of Finsler manifolds
Zhongmin Shen, Lixia Yuan, Wei Zhao
In this paper, we study the spectrums of faithful dimension pairs on a closed Finsler manifold and obtain a Gromov type and a Buser type lower bounds for eigenvalues. Furthermore,…
math.DG2018
Dimension-like functions and spectrums of Finsler manifolds
Zhongmin Shen, Wei Zhao
In this paper, we study the spectral problem on a compact Finsler manifold with or without boundary. More precisely, given a certain collection of sets in Sobolev space $H^{1,2}(M)…