Vector bundles with infinitely many souls
Differential Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0109168,
title = {Vector bundles with infinitely many souls},
author = {Igor Belegradek},
journal= {arXiv preprint arXiv:math/0109168},
year = {2007}
}
Comments
5 pages. to appear in Proc. of AMS