On the topology of manifolds with positive isotropic curvature

2008/01/15 by Siddartha Gadgil, Harish Seshadri, Gadgil, Siddartha +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0801.2221

openalex publication_date 2008/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that a closed orientable Riemannian n-manifold, n ≥ 5, with positive isotropic curvature and free fundamental group is homeomorphic to the connected sum of copies of S^n-1 × S¹.

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