Vector bundles with infinitely many souls
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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.References
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Additional Information
- Igor Belegradek
- Affiliation: Department of Mathematics, 253-37, California Institute of Technology, Pasadena, California 91125
- MR Author ID: 340900
- Email: ibeleg@its.caltech.edu
- 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
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2217-2221
- MSC (2000): Primary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-03-06863-1
- MathSciNet review: 1963770