Complete manifolds with nonnegative curvature operator

DOI10.1090/S0002-9939-06-08872-1zbMath1127.58022arXivmath/0607356OpenAlexW2030221916MaRDI QIDQ5291950

Lei Ni, Bao-Qiang Wu

Publication date: 19 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0607356

zbMATH Keywords

Complete manifoldNonnegative curvature operator

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (16)

A sharp differentiable pinching theorem for submanifolds in space forms ⋮ Tachibana-type theorems and special holonomy ⋮ New curvature conditions for the Bochner technique ⋮ The curvature operator at the soul ⋮ Betti numbers and the curvature operator of the second kind ⋮ Manifolds with nonnegative curvature operator of the second kind ⋮ On 3-manifolds with pointwise pinched nonnegative Ricci curvature ⋮ Kähler manifolds and the curvature operator of the second kind ⋮ Pinched hypersurfaces are compact ⋮ On the compactness of hypersurfaces with finite total curvature via mean curvature flow ⋮ Yamabe flow and Myers type theorem on complete manifolds ⋮ Pinched ancient solutions to the high codimension mean curvature flow ⋮ Manifolds with pinched 2-positive curvature operator ⋮ Curvature, Sphere Theorems, and the Ricci flow ⋮ Complete non-compact gradient Ricci solitons with nonnegative Ricci curvature ⋮ Comparative analysis of spectral properties of the Hodge-de Rham and Tachibana operators

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• Ricci flow and nonnegativity of sectional curvature
• Plurisubharmonic functions and the structure of complete Kähler manifolds with nonnegative curvature.
• Convex hypersurfaces with pinched second fundamental form
• Plurisubharmonic functions and the Kahler-Ricci flow

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