A NOTE ABOUT INVARIANT SKT STRUCTURES AND GENERALIZED KAHLER STRUCTURES ON FLAG MANIFOLDS

被引：5
|
作者：
Alekseevsky, Dmitri V. [1 ]
David, Liana [2 ]
机构：
[1] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland
[2] Acad Romana, Inst Math Simion Stoilow, Bucharest 010702, Romania
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2012年 / 55卷
关键词：
SKT structures; (generalized) Kahler structures; flag manifold; METRICS;
D O I：
10.1017/S001309151000101X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that any invariant strong Kahler structure with torsion (SKT structure) on a flag manifold M = G/K of a semi-simple compact Lie group G is Kahler. As an application we describe invariant generalized Kahler structures on M.
引用
收藏
页码：543 / 549
页数：7
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