CaltechAUTHORS
Published 2003 | Version Published
Journal Article Open

Vector bundles with infinitely many souls

Creators

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.

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.

Attached Files

Published - BELpams03.pdf

Files

BELpams03.pdf

Files (262.7 kB)

Name Size
md5:f2dcdbe07b396e83b9bc8861ed2d48db
262.7 kB Preview Download

Additional details

Identifiers

Eprint ID
27414
Resolver ID
CaltechAUTHORS:20111025-135315183

Dates

Created
2011-10-25
Created from EPrint's datestamp field
Updated
2021-11-09
Created from EPrint's last_modified field

Caltech Custom Metadata

Other Numbering System Name
MathSciNet review
Other Numbering System Identifier
1963770