Invariant Einstein metrics on generalized flag manifolds with two isotropy summands
Differential Geometry
2019-11-25 v1 Representation Theory
Abstract
Let be a generalized flag manifold, that is the adjoint orbit of a compact semisimple Lie group . We use the variational approach to find invariant Einstein metrics for all 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.
Keywords
Cite
@article{arxiv.0902.1826,
title = {Invariant Einstein metrics on generalized flag manifolds with two isotropy summands},
author = {Andreas Arvanitoyeorgos and Ioannis Chrysikos},
journal= {arXiv preprint arXiv:0902.1826},
year = {2019}
}