Geodesic
A sharp lower bound for the first eigenvalue on Finsler manifolds
Annales de l'I.H.P. Analyse non linéaire, Tome 30 (2013) no. 6, pp. 983-996

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In this paper, we give a sharp lower bound for the first (nonzero) Neumann eigenvalue of Finsler-Laplacian in Finsler manifolds in terms of diameter, dimension, weighted Ricci curvature.

DOI : 10.1016/j.anihpc.2012.12.008
Classification : 35P15, 53C60, 35A23
Keywords: Finsler-Laplacian, First eigenvalue, Weighted Ricci curvature, Poincaré inequality 
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     author = {Wang, Guofang and Xia, Chao},
     title = {A sharp lower bound for the first eigenvalue on {Finsler} manifolds},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {983--996},
     publisher = {Elsevier},
     volume = {30},
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     year = {2013},
     doi = {10.1016/j.anihpc.2012.12.008},
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     zbl = {1286.35179},
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     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2012.12.008/}
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Wang, Guofang; Xia, Chao. A sharp lower bound for the first eigenvalue on Finsler manifolds. Annales de l'I.H.P. Analyse non linéaire, Tome 30 (2013) no. 6, pp. 983-996. doi: 10.1016/j.anihpc.2012.12.008

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