A sphere theorem for pinching positive scalar curvature manifolds

DOI10.1016/j.matpur.2010.08.002zbMath1217.53037OpenAlexW2008199944MaRDI QIDQ626797

Ezequiel R. Barbosa

Publication date: 18 February 2011

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2010.08.002

zbMATH Keywords

differentiable sphere theorempinching conditionsphere theorempinched positive scalar curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Mean curvature flow of pinched submanifolds to spheres
• Mean curvature flow with surgeries of two-convex hypersurfaces
• Conformal deformations of integral pinched 3-manifolds
• Four-manifolds with positive curvature operator
• A sharp characterization of the smooth 4-sphere in curvature terms
• Über Riemannsche Mannigfaltigkeiten mit nach oben beschränkter Krümmung
• An intrinsic rigidity theorem for minimal submanifolds in a sphere
• Hypersurfaces with constant scalar curvature
• Three-manifolds with positive Ricci curvature
• A conformally invariant sphere theorem in four dimensions
• Isometric immersions of Riemannian manifolds
• Reduction of the codimension of an isometric immersion
• A contribution to differential geometry in the large
• Manifolds with 1/4-pinched curvature are space forms
• Harmonic functions on complete riemannian manifolds
• Submanifolds with Constant Mean Curvature
• Submanifolds with constant scalar curvature

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