Almost-Einstein manifolds with nonnegative isotropic curvature

DOI10.5802/aif.2616zbMath1225.53037OpenAlexW1607182438MaRDI QIDQ717807

Harish Seshadri

Publication date: 6 October 2011

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2010__60_7_2493_0/

zbMATH Keywords

non-negative isotropic curvaturealmost-Einstein manifolds

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

• Unnamed Item
• Manifolds with nonnegative isotropic curvature
• Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
• Rigidity and stability of Einstein metrics - The case of compact symmetric spaces
• Metrics with nonnegative isotropic curvature
• Diffeomorphism finiteness, positive pinching, and second homotopy
• Einstein manifolds with nonnegative isotropic curvature are locally symmetric
• Manifolds with 1/4-pinched curvature are space forms
• Classification of almost quarter-pinched manifolds

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