Vector bundles with infinitely many souls

Belegradek, Igor (2003) Vector bundles with infinitely many souls. Proceedings of the American Mathematical Society, 131 (7). pp. 2217-2221. ISSN 0002-9939 http://resolver.caltech.edu/CaltechAUTHORS:20111025-135315183

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Abstract

We construct the first examples of manifolds, the simplest one being S^3 x S^4 x R^5, which admit infinitely many complete nonnegatively curved metrics with pairwise nonhomeomorphic souls.

Item Type:

Article

Additional Information:

© 2003 American Mathematical Society. Received by the editors June 17, 2001 and, in revised form, September 25, 2001. Article electronically published on February 20, 2003. Communicated by Wolfgang Ziller. The results of this paper were obtained during a geometry meeting in Oberwolfach in June 2001, and the author is grateful to the meeting organizers for excellent working conditions and hospitality. Special thanks are due to Wolfgang Ziller for insightful discussions and encouragement, and to McKenzie Wang for helpful communications about Kamerich's thesis.

Subject Keywords:

Nonnegative curvature, soul

Other Numbering System:

Other Numbering System Name	Other Numbering System ID
MathSciNet review	1963770

Classification Code:

MSC (2000): Primary 53C20

Record Number:

CaltechAUTHORS:20111025-135315183

Persistent URL:

http://resolver.caltech.edu/CaltechAUTHORS:20111025-135315183

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Official Citation:

Vector bundles with infinitely many souls Igor Belegradek Proc. Amer. Math. Soc. 131 (2003), 2217-2221. MathSciNet review: 1963770

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

27414

Collection:

CaltechAUTHORS

Deposited By:

Ruth Sustaita

Deposited On:

25 Oct 2011 21:16

Last Modified:

26 Dec 2012 14:19

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