INVARIANT EINSTEIN METRICS ON GENERALIZED FLAG MANIFOLDS WITH TWO ISOTROPY SUMMANDS

Journal of the Australian Mathematical Society

ANDREAS ARVANITOYEORGOS¹ 

[1]IOANNIS CHRYSIKOS

关键词: primary 53C25;    secondary 53C30;    22E46;   

DOI  :  10.1017/S1446788711001303

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let M=G/K be a generalized flag manifold, that is, an adjoint orbit of a compact, connected and semisimple Lie group G. We use a variational approach to find non-Kähler homogeneous Einstein metrics for flag manifolds with two isotropy summands. We also determine the nature of these Einstein metrics as critical points of the scalar curvature functional under fixed volume.

【 授权许可】

Unknown