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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Metrics of negative curvature on vector bundles
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by Michael T. Anderson PDF
Proc. Amer. Math. Soc. 99 (1987), 357-363 Request permission

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
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 99 (1987), 357-363
  • MSC: Primary 53C20
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0870801-8
  • MathSciNet review: 870801