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Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Vector bundles with infinitely many souls

Author(s): Igor Belegradek
Journal: Proc. Amer. Math. Soc. 131 (2003), 2217-2221.
MSC (2000): Primary 53C20
Posted: 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 $S^3\times S^4\times\mathbb{R} ^5$, which admit infinitely many complete nonnegatively curved metrics with pairwise nonhomeomorphic souls.

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Additional Information:

Igor Belegradek
Affiliation: Department of Mathematics, 253-37, California Institute of Technology, Pasadena, California 91125
Email: ibeleg@its.caltech.edu

DOI: 10.1090/S0002-9939-03-06863-1
PII: S 0002-9939(03)06863-1
Keywords: Nonnegative curvature, soul
Received by editor(s): June 17, 2001
Received by editor(s) in revised form: September 25, 2001
Posted: February 20, 2003
Communicated by: Wolfgang Ziller
Copyright of article: Copyright 2003, American Mathematical Society




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