On the topology of manifolds with positive isotropic curvature

DOI10.1090/S0002-9939-08-09799-2zbMath1166.53026arXiv0801.2221OpenAlexW2056370188MaRDI QIDQ3625557

Harish Seshadri, Siddhartha Gadgil

Publication date: 5 May 2009

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

Full work available at URL: https://arxiv.org/abs/0801.2221

zbMATH Keywords

fundamental groupconnected sumisotropic curvatureclosed orientable Riemannian \(n\)-manifold

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Cites Work

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• Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
• Metrics with nonnegative isotropic curvature
• Fundamental groups of manifolds with positive isotropic curvature
• Topological rigidity for non-aspherical manifolds
• Local and superlinear convergence of a primal-dual interior point method for nonlinear semidefinite programming
• The fundamental group of manifolds of positive isotropic curvature and surface groups
• Fundamentalgruppe und zweite Bettische Gruppe
• On simply connected, 4-dimensional polyhedra

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