Nonnegatively curved vector bundles with large normal holonomy groups
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Abstract:
When $B$ is a biquotient, we show that there exist vector bundles over $B$ with metrics of nonnegative curvature whose normal holonomy groups have arbitrarily large dimension.References
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Additional Information
- Kristopher Tapp
- Affiliation: Department of Mathematics and Computer Science, Suffolk University, Fenton Building, Room 621, 32 Derne St., Boston, Massachusetts 02114
- MR Author ID: 630309
- Email: ktapp@mcs.suffolk.edu
- Received by editor(s): April 21, 2006
- Received by editor(s) in revised form: October 23, 2006
- Published electronically: October 12, 2007
- Additional Notes: The author was supported in part by NSF grant DMS–0303326.
- Communicated by: Jon G. Wolfson
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 295-300
- MSC (2000): Primary 53Cxx
- DOI: https://doi.org/10.1090/S0002-9939-07-08983-6
- MathSciNet review: 2350416