An elementary approach to gap theorems

DOI10.1007/s12044-009-0020-5zbMath1180.53036arXiv0801.0285OpenAlexW2156512608MaRDI QIDQ841199

Harish Seshadri

Publication date: 14 September 2009

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.0285

zbMATH Keywords

Riemannian manifoldsectional curvaturehyperbolic spacevolume comparison

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)

Related Items (1)

Rigidity of nonpositively curved manifolds with convex boundary

Cites Work

• Rigidity of asymptotically hyperbolic manifolds
• Gap theorems for noncompact Riemannian manifolds
• Manifolds of nonpositive curvature
• Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay
• On the proof of the positive mass conjecture in general relativity
• Scalar curvature rigidity of asymptotically hyperbolic spin manifolds

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