Vector bundles with infinitely many souls

Author:
Igor Belegradek

Journal:
Proc. Amer. Math. Soc. **131** (2003), 2217-2221

MSC (2000):
Primary 53C20

DOI:
https://doi.org/10.1090/S0002-9939-03-06863-1

Published electronically:
February 20, 2003

MathSciNet review:
1963770

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Abstract | References | Similar Articles | Additional Information

Abstract: We construct the first examples of manifolds, the simplest one being , which admit infinitely many complete nonnegatively curved metrics with pairwise nonhomeomorphic souls.

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Additional Information

**Igor Belegradek**

Affiliation:
Department of Mathematics, 253-37, California Institute of Technology, Pasadena, California 91125

Email:
ibeleg@its.caltech.edu

DOI:
https://doi.org/10.1090/S0002-9939-03-06863-1

Keywords:
Nonnegative curvature,
soul

Received by editor(s):
June 17, 2001

Received by editor(s) in revised form:
September 25, 2001

Published electronically:
February 20, 2003

Communicated by:
Wolfgang Ziller

Article copyright:
© Copyright 2003
American Mathematical Society