A Laplacian comparison theorem and its applications.

DOI10.3792/pjaa.78.7zbMath1082.53038OpenAlexW1984050663WikidataQ125320309 ScholiaQ125320309MaRDI QIDQ1609945

Takeshi Kura

Publication date: 18 August 2002

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.78.7

zbMATH Keywords

volume comparison theoremhyperbolicity of Riemannian manifoldsLaplace comparison theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

A note on eigenvalue bounds for non‐compact manifolds ⋮ Reverse comparison theorems with upper integral Ricci curvature condition

Cites Work

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• Comparison theory for Riccati equations
• On the Green function of the \(p\)-Laplace equation for Riemannian manifolds
• A Lower Bound for the Spectrum of the Laplacian in Terms of Sectional and Ricci Curvature
• Curvature, geodesics and the Brownian motion on a Riemannian manifold I—Recurrence properties

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