Eigenvalue comparison theorems for Finsler manifolds with integral Ricci curvature bound

DOI10.4064/AP191208-16-5zbMath1476.53096OpenAlexW3092199230MaRDI QIDQ4997503

Bing Ye Wu

Publication date: 29 June 2021

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap191208-16-5

zbMATH Keywords

diameterfirst eigenvalueFinsler manifoldextreme volume formintegral Ricci curvature

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Cites Work

• Unnamed Item
• Comparison theorems in Finsler geometry and their applications
• Heat kernel estimates and lower bound of eigenvalues
• Eigenvalue comparison theorems and its geometric applications
• Integral curvature bounds, distance estimates and applications
• A sharp lower bound for the first eigenvalue on Finsler manifolds
• Eigenvalues and eigenfunctions of metric measure manifolds
• Volume form and its applications in Finsler geometry
• ON INTEGRAL RICCI CURVATURE AND TOPOLOGY OF FINSLER MANIFOLDS
• On lower bounds of the first eigenvalue of Finsler--Laplacian

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