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Proceedings of the American Mathematical Society

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

 

 

Lie groups which admit flat left invariant metrics


Authors: John R. Herring and John J. O’Sullivan
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
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0609662-5
Keywords: Lie group, flat left invariant metric, conjugate points
Article copyright: © Copyright 1981 American Mathematical Society