Vector bundles with infinitely many souls

Belegradek, Igor

doi:10.1090/S0002-9939-03-06863-1

Vector bundles with infinitely many souls
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by Igor Belegradek PDF

Proc. Amer. Math. Soc. 131 (2003), 2217-2221 Request permission

Abstract:

We construct the first examples of manifolds, the simplest one being $S^3\times S^4\times \mathbb {R}^5$, which admit infinitely many complete nonnegatively curved metrics with pairwise nonhomeomorphic souls.

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