Vector bundles with infinitely many souls

Details Vector bundles with infinitely many souls Vector bundles with infinitely many souls

2001-09-22

arxiv.org/abs/math/0109168v1

Mathematics

Differential Geometry

5 pages. to appear in Proc. of AMS

Scientific paper

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.

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