A theorem on the volume growth in non-positive curved manifolds

DOI10.1016/J.NA.2005.08.019zbMath1092.53025OpenAlexW2010389260MaRDI QIDQ2489507

Qingchun Ji

Publication date: 28 April 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.08.019

zbMATH Keywords

Ricci curvatureRicci tensorvolume growthnegative curvatureLaplacian comparison theoremvolume geodesic ball

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (6)

Isoperimetry, decrease of the heat kernel and Riesz transformations: A counterexample ⋮ Sharp local isoperimetric inequalities involving the scalar curvature ⋮ Rigidity theorems for manifolds with boundary and nonnegative Ricci curvature ⋮ The double cover relative to a convex domain and the relative isoperimetric inequality ⋮ The Cartan-Hadamard conjecture and the little prince ⋮ Isoperimetric Inequalities for Extrinsic Balls in Minimal Submanifolds and their Applications

Cites Work

• Problèmes isoperimetriques et espaces de Sobolev
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