Comparing the relative volume with a revolution manifold as a model

DOI10.1007/BF02760949zbMath0794.53036OpenAlexW2054536568MaRDI QIDQ1310422

Vicente Miquel, Ana Lluch

Publication date: 1 September 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02760949

zbMATH Keywords

comparison theoremRicci curvaturemean curvaturerelative volume

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Cites Work

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• An improved Toponogov comparison theorem for nonnegatively curved manifolds
• Comparison theory for Riccati equations
• Volume estimates for real hypersurfaces of a Kaehler manifold with strictly positive holomorphic sectional and antiholomorphic Ricci curvatures
• Comparison theorems for the volume of a complex submanifold of a Kaehler manifold
• A general comparison theorem with applications to volume estimates for submanifolds
• Lower curvature bounds, Toponogov's theorem, and bounded topology
• Comparison theorems for the matrix riccati equation
• Differential geometry of geodesic spheres.

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