Pointwise 1/4-pinched 4-manifolds

DOI10.1007/BF00776854zbMath0752.53021MaRDI QIDQ1182223

Haiwen Chen

Publication date: 28 June 1992

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

pointwise pinching

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (26)

Global Kähler-Ricci flow on complete non-compact manifolds ⋮ Complete manifolds with nonnegative curvature operator ⋮ Tachibana-type theorems and special holonomy ⋮ On Kähler manifolds with positive orthogonal bisectional curvature ⋮ On Type-II Singularities in Ricci Flow on ℝ^N ⋮ New curvature conditions for the Bochner technique ⋮ On the classification of gradient Ricci solitons ⋮ Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature ⋮ The Ricci flow under almost non-negative curvature conditions ⋮ Evolution equations in Riemannian geometry ⋮ Betti numbers and the curvature operator of the second kind ⋮ Kähler surfaces with six-positive curvature operator of the second kind ⋮ Manifolds with nonnegative curvature operator of the second kind ⋮ The existence of \(k\)-convex hypersurface with prescribed mean curvature ⋮ Kähler manifolds and the curvature operator of the second kind ⋮ Ricci flow under local almost non-negative curvature conditions ⋮ A new curvature condition preserved by the Ricci flow ⋮ The Differentiable Sphere Theorem (After S. Brendle and R. Schoen) ⋮ The Kähler-Ricci flow on Kähler manifolds with 2-non-negative traceless bisectional curvature operator ⋮ Manifolds with 1/4-pinched flag curvature ⋮ Curvature, Sphere Theorems, and the Ricci flow ⋮ The second Sobolev best constant along the Ricci flow ⋮ Manifolds with 1/4-pinched curvature are space forms ⋮ Non-negative Ricci curvature on closed manifolds under Ricci flow ⋮ POSITIVITY OF RICCI CURVATURE UNDER THE KÄHLER–RICCI FLOW ⋮ Recent developments on the Ricci flow

Cites Work

• Unnamed Item
• The topology of four-dimensional manifolds
• Ricci deformation of the metric on a Riemannian manifold
• Four-manifolds with positive curvature operator
• Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
• Some new four-manifolds
• Three-manifolds with positive Ricci curvature
• Existence and Uniqueness of Algebraic Curvature Tensors with Prescribed Properties and an Application to the Sphere Theorem

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