On the first eigenvalue of Finsler manifolds with nonnegative weighted Ricci curvature

DOI10.1007/S11425-013-4707-9zbMath1311.53061OpenAlexW1985200720MaRDI QIDQ476935

Qun He, Song-Ting Yin, Yi-Bing Shen

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4707-9

zbMATH Keywords

Ricci curvaturefirst eigenvalueFinsler-Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (6)

Isoparametric hypersurfaces in Minkowski spaces ⋮ The first eigenfunctions and eigenvalue of the \(p\)-Laplacian on Finsler manifolds ⋮ On Obata theorem in Randers spaces ⋮ Gradient Estimates and Harnack Inequalities of a Nonlinear Heat Equation for the Finsler-Laplacian ⋮ Transnormal functions and focal varieties on Finsler manifolds ⋮ The mean curvature flow in Minkowski spaces

Cites Work

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• An optimal anisotropic Poincaré inequality for convex domains
• Comparison theorems in Finsler geometry and their applications
• Finsler interpolation inequalities
• Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds
• A sharp lower bound for the first eigenvalue on Finsler manifolds
• On the geometry of metric measure spaces. I
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Eigenvalues and eigenfunctions of metric measure manifolds
• On lower bounds of the first eigenvalue of Finsler--Laplacian
• A Remark on Zhong-Yang's Eigenvalue Estimate

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