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Nonnegatively curved vector bundles with large normal holonomy groups
Author(s):
Kristopher
Tapp
Journal:
Proc. Amer. Math. Soc.
136
(2008),
295-300.
MSC (2000):
Primary 53Cxx
Posted:
October 12, 2007
MathSciNet review:
2350416
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Abstract:
When is a biquotient, we show that there exist vector bundles over 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
Email:
ktapp@mcs.suffolk.edu
DOI:
10.1090/S0002-9939-07-08983-6
PII:
S 0002-9939(07)08983-6
Keywords:
Nonnegative curvature,
biquotient,
holonomy
Received by editor(s):
April 21, 2006
Received by editor(s) in revised form:
October 23, 2006
Posted:
October 12, 2007
Additional Notes:
The author was supported in part by NSF grant DMS--0303326.
Communicated by:
Jon G. Wolfson
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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