Invariant Einstein metrics on flag manifolds with four isotropy summands

被引：43

作者：

Arvanitoyeorgos, Andreas ^{[1
]}

Chrysikos, Ioannis ^{[1
]}

机构：

[1] Univ Patras, Dept Math, Rion 26500, Greece

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2010年 / 37卷 / 02期

关键词：

Homogeneous manifold; Einstein metric; Generalized flag manifold; Isotropy representation; t-roots;

D O I：

10.1007/s10455-009-9183-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalized flag manifold is a homogeneous space of the form G/K, where K is the centralizer of a torus in a compact connected semisimple Lie group G. We classify all flag manifolds with four isotropy summands by the use of t-roots. We present new G-invariant Einstein metrics by solving explicity the Einstein equation. We also examine the isometric problem for these Einstein metrics.

引用

页码：185 / 219

页数：35

共 39 条

[1] INVARIANT KAHLER-EINSTEIN METRICS ON COMPACT HOMOGENEOUS SPACES [J].