Classification of almost quarter-pinched manifolds

DOI10.1090/S0002-9939-09-09802-5zbMath1168.53020arXiv0807.1900OpenAlexW2142072686MaRDI QIDQ3631851

Peter V Petersen, Terence C. Tao

Publication date: 22 June 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1900

zbMATH Keywords

Riemannian manifoldsalmost quarter-pinched manifolds

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (14)

The differentiable sphere theorem for manifolds with positive Ricci curvature ⋮ A sharp differentiable pinching theorem for submanifolds in space forms ⋮ Geometric, topological and differentiable rigidity of submanifolds in space forms ⋮ A note on the almost-one-half holomorphic pinching ⋮ Four-dimensional manifolds with pinched positive sectional curvature ⋮ Differential structure of Kähler manifold with almost nonnegative orthogonal bisectional curvature ⋮ Rigidity of Einstein manifolds with positive scalar curvature ⋮ Geometric and topological rigidity for compact submanifolds of odd dimension ⋮ The Differentiable Sphere Theorem (After S. Brendle and R. Schoen) ⋮ Manifolds with 1/4-pinched flag curvature ⋮ Almost-Einstein manifolds with nonnegative isotropic curvature ⋮ Curvature, Sphere Theorems, and the Ricci flow ⋮ POSITIVELY CURVED MANIFOLDS WITH LARGE CONJUGATE RADIUS ⋮ FOUR-MANIFOLDS WITH POSITIVE CURVATURE

Cites Work

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• Three-manifolds with positive Ricci curvature
• On the fundamental groups of manifolds of positive sectional curvature
• Manifolds with positive curvature operators are space forms
• Manifolds with 1/4-pinched curvature are space forms
• Riemannian Geometry

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