paper

Vector bundles with infinitely many souls

arXiv:math/0109168

Abstract

We construct the first examples of manifolds, the simplest one being the product of S^3, S^4, and R^5, which admit infinitely many complete nonnegatively curved metrics with pairwise nonhomeomorphic souls.

5 pages. to appear in Proc. of AMS

Vector bundles with infinitely many souls · wovepaper