Invariant Einstein metrics on flag manifolds with four isotropy summands
Differential Geometry
2019-11-25 v2 Representation Theory
Abstract
A generalized flag manifold is a homogeneous space of the form , where is the centralizer of a torus in a compact connected semisimple Lie group . We classify all flag manifolds with four isotropy summands and we study their geometry. We present new -invariant Einstein metrics by solving explicity the Einstein equation. We also examine the isometric problem for these Einstein metrics.
Keywords
Cite
@article{arxiv.0904.1690,
title = {Invariant Einstein metrics on flag manifolds with four isotropy summands},
author = {Andreas Arvanitoyeorgos and Ioannis Chrysikos},
journal= {arXiv preprint arXiv:0904.1690},
year = {2019}
}