A remark on left invariant metrics on compact Lie groups |
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| Authors: | Lorenz J. Schwachhöfer |
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| Affiliation: | 1. Fachbereich Mathematik, Universit?t Dortmund, Dortmund, D-44221, Germany
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| Abstract: | We show that a left invariant metric on a compact Lie group G with Lie algebra  has some negative sectional curvature if it is obtained by enlarging a biinvariant metric on a subalgebra  , unless the semi-simple part of  is an ideal of  This answers a question raised in [8]. Received: 7 May 2007 |
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| Keywords: | 53C20 53C30 |
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