Comparison theorems for manifolds with mean convex boundary

DOI10.1142/S0219199715500108zbMath1327.53038arXiv1306.5079MaRDI QIDQ2950144

Jian Ge

Publication date: 8 October 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5079

zbMATH Keywords

comparison theoremRicci curvaturebisectional curvaturemean convex boundarydistance function to the boundary

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (4)

Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball ⋮ Radius estimates for Alexandrov space with boundary ⋮ Some sharp isoperimetric-type inequalities on Riemannian manifolds ⋮ Comparison theorems on smooth metric measure spaces with boundary

Cites Work

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• A sharp comparison theorem for compact manifolds with mean convex boundary
• An extension of E. Hopf's maximum principle with an application to Riemannian geometry
• On Kähler manifolds of positive bisectional curvature and a theorem of Hartogs
• Matrix Li-Yau-Hamilton estimates for the heat equation on Kähler manifolds
• Extrinsic curvature of semiconvex subspaces in Alexandrov geometry
• Boundaries of zero scalar curvature in the AdS/CFT correspondence

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