Eigenvalue Comparison Theorems on Finsler Manifolds

Cheng-type inequality, Cheeger-type inequality and Faber-Krahn-type inequality are generalized to Finsler manifolds. For a compact Finsler manifold with the weighted Ricci curvature bounded from below by a negative constant, Li-Yau＇s estimation of the first eigenvalue is also given.

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Bibliographische Detailangaben
Veröffentlicht in:	Chinese annals of mathematics. Serie B 2015, Vol.36 (1), p.31-44
Hauptverfasser:	Yin, Songting, He, Qun
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Finsler流形 Mathematics Mathematics and Statistics 下界不等式估计加权比较定理第一特征值紧致
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Beschreibung
Zusammenfassung:	Cheng-type inequality, Cheeger-type inequality and Faber-Krahn-type inequality are generalized to Finsler manifolds. For a compact Finsler manifold with the weighted Ricci curvature bounded from below by a negative constant, Li-Yau＇s estimation of the first eigenvalue is also given.
ISSN:	0252-9599 1860-6261
DOI:	10.1007/s11401-014-0879-z