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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Metrics of negative curvature on vector bundles


Author: Michael T. Anderson
Journal: Proc. Amer. Math. Soc. 99 (1987), 357-363
MSC: Primary 53C20
MathSciNet review: 870801
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Abstract: It is shown that any vector bundle $ E$ over a compact base manifold $ M$ admits a complete metric of negative (respectively nonpositive) curvature provided $ M$ admits a metric of negative (nonpositive) curvature.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0870801-8
PII: S 0002-9939(1987)0870801-8
Article copyright: © Copyright 1987 American Mathematical Society