An optimal differentiable sphere theorem for complete manifolds

DOI10.4310/MRL.2010.v17.n6.a10zbMath1221.53068OpenAlexW2963481257MaRDI QIDQ2275760

Juan-Ru Gu, Hong-Wei Xu

Publication date: 9 August 2011

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2010.v17.n6.a10

zbMATH Keywords

second fundamental formRicci flowdifferentiable sphere theoremstable currentscomplete manifold

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (12)

The differentiable sphere theorem for manifolds with positive Ricci curvature ⋮ An extension theorem for real Kähler submanifolds in codimension 4 ⋮ A simple improvement of a differentiable classification result for complete submanifolds ⋮ Geometric, topological and differentiable rigidity of submanifolds in space forms ⋮ The extension and convergence of mean curvature flow in higher codimension ⋮ Mean curvature flow of arbitrary codimension in complex projective spaces ⋮ Differentiable sphere theorems for submanifolds of positive \(k\)-th Ricci curvature ⋮ Some differentiable sphere theorems ⋮ Differentiable pinching theorems for submanifolds via Ricci flow ⋮ Homology vanishing theorems for pinched submanifolds ⋮ Sphere theorems for Lagrangian and Legendrian submanifolds ⋮ Gaussian Mean Curvature Flow for Submanifolds in Space Forms

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