A new Laplacian comparison theorem and the estimate of eigenvalues

DOI10.1021/ja064164czbMath0798.53048OpenAlexW2080350024WikidataQ57783850 ScholiaQ57783850MaRDI QIDQ1327002

Qing Ding

Publication date: 15 June 1994

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1021/ja064164c

zbMATH Keywords

Cartan-Hadamard manifoldnonpositive curvatureLaplacian comparison theoremeigenvalue comparison theorems

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (9)

Comparison theorems in Finsler geometry and their applications ⋮ Some comparison theorems and their applications in Finsler geometry ⋮ A generalized Omori-Yau maximum principle in Finsler geometry ⋮ Mckean-type Estimates for the First Eigenvalue of the p-Laplacian and (p,q)-Laplacian Operators on Finsler Manifolds ⋮ Bounded harmonic functions on Riemannian manifolds of nonpositive curvature ⋮ The first eigenvalue of Finsler \(p\)-Laplacian ⋮ Coercive inequalities on metric measure spaces ⋮ A criterion of nonparabolicity by the Ricci curvature ⋮ Reverse comparison theorems with upper integral Ricci curvature condition

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