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Proceedings of the American Mathematical Society

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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.

References [Enhancements On Off] (What's this?)

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Article copyright: © Copyright 1987 American Mathematical Society

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