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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Vector bundles with infinitely many souls


Author: Igor Belegradek
Journal: Proc. Amer. Math. Soc. 131 (2003), 2217-2221
MSC (2000): Primary 53C20
Published electronically: February 20, 2003
MathSciNet review: 1963770
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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: http://dx.doi.org/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
Published electronically: February 20, 2003
Communicated by: Wolfgang Ziller
Article copyright: © Copyright 2003 American Mathematical Society