書誌事項
- 公開日
- 2009-12-01
- 権利情報
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- https://www.cambridge.org/core/terms
- DOI
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- 10.4153/cjm-2009-056-2
- 公開者
- Canadian Mathematical Society
この論文をさがす
説明
<jats:title>Abstract</jats:title><jats:p> A Riemannian manifold (<jats:italic>M</jats:italic>, ρ) is called Einstein if the metric ρ satisfies the condition Ric(ρ) = <jats:italic>c</jats:italic> · ρ for some constant <jats:italic>c</jats:italic>. This paper is devoted to the investigation of <jats:italic>G</jats:italic>-invariant Einstein metrics, with additional symmetries, on some homogeneous spaces <jats:italic>G</jats:italic>/<jats:italic>H</jats:italic> of classical groups. As a consequence, we obtain new invariant Einstein metrics on some Stiefel manifolds <jats:italic>SO</jats:italic>(<jats:italic>n</jats:italic>)/<jats:italic>SO</jats:italic>(<jats:italic>l</jats:italic>). Furthermore, we show that for any positive integer <jats:italic>p</jats:italic> there exists a Stiefelmanifold <jats:italic>SO</jats:italic>(<jats:italic>n</jats:italic>)/<jats:italic>SO</jats:italic>(<jats:italic>l</jats:italic>) that admits at least <jats:italic>p SO</jats:italic>(<jats:italic>n</jats:italic>)-invariant Einstein metrics.</jats:p>
収録刊行物
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- Canadian Journal of Mathematics
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Canadian Journal of Mathematics 61 (6), 1201-1213, 2009-12-01
Canadian Mathematical Society
