Volume comparison theorems for manifolds with radial curvature bounded

DOI10.1007/s10587-016-0240-7zbMath1413.53082OpenAlexW2322705047MaRDI QIDQ2810156

Jing Mao

Publication date: 31 May 2016

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144877

zbMATH Keywords

volume comparisonradial sectional curvaturespherically symmetric manifoldsradial Ricci curvature

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Geometry and topology of manifolds with integral radial curvature bounds ⋮ \(\mathcal{M}\)-convex hypersurfaces with prescribed shifted Gaussian curvature in warped product manifolds ⋮ Unnamed Item ⋮ On sufficient conditions to extend Huber's finite connectivity theorem to higher dimensions

Cites Work

• Spherical symmetrization and the first eigenvalue of geodesic disks on manifolds
• An improved Toponogov comparison theorem for nonnegatively curved manifolds
• A volume comparison estimate with radially symmetric Ricci curvature lower bound and its applications
• Eigenvalue comparison theorems and its geometric applications
• Contributions to riemannian geometry in the large
• Eigenvalue inequalities for the \(p\)-Laplacian on a Riemannian manifold and estimates for the heat kernel
• Generalized space forms
• Lower curvature bounds, Toponogov's theorem, and bounded topology
• A lower bound for the heat kernel
• Riemannian Geometry
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