Para-Kahler Einstein metrics on homogeneous manifolds

被引：3
|
作者：
Alekseevsky, Dimitri V. [1 ]
Medori, Costantino [2 ]
Tomassini, Adriano [2 ]
机构：
[1] Univ Edinburgh, Edinburgh EH9 3JZ, Midlothian, Scotland
[2] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy
来源：
COMPTES RENDUS MATHEMATIQUE | 2009年 / 347卷 / 1-2期
关键词：
SEMISIMPLE LIE-ALGEBRAS;
D O I：
10.1016/j.crma.2008.11.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A para-Kahler structure on a manifold M is a pair (g, K) where g is a pseudo-Riemannian metric and K is a parallel field of skew-symmetric endomorphisms with K(2) = Id. We give a description of all invariant para-Kahler structures (g, K) on homogeneous manifolds M = G/H of semisimple Lie groups G. To cite this article: D. V. Alekseevsky et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2008 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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页码：69 / 72
页数：4
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