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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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Lie groups which admit flat left invariant metrics
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by John R. Herring and John J. O’Sullivan PDF
Proc. Amer. Math. Soc. 82 (1981), 257-260 Request permission

Abstract:

Let $G$ be a Lie group which admits a flat left invariant metric. We show that any nonflat left invariant metric on $G$ has conjugate points and we describe how some of the conjugate points arise.
References
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 82 (1981), 257-260
  • MSC: Primary 53C20; Secondary 53C30
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0609662-5
  • MathSciNet review: 609662