Vector bundles with infinitely many souls

2001/09/22 by Igor Belegradek, Belegradek, Igor
Mathematics · Physics and Astronomy · #53C20 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C20

paper · pdf · doi:10.48550/arxiv.math/0109168

5 pages. to appear in Proc. of AMS

arxiv created 2001/09/22 · openalex publication_date 2001/09/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct the first examples of manifolds, the simplest one being the product of S³, S⁴, and R⁵, which admit infinitely many complete nonnegatively curved metrics with pairwise nonhomeomorphic souls.

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