Invariant Einstein metrics on real flag manifolds with two or three isotropy summands
Differential Geometry
2020-07-06 v2
Abstract
We study the existence of invariant Einstein metrics on real flag manifolds associated to simple and non-compact split real forms of complex classical Lie algebras whose isotropy representation decomposes into two or three irreducible sub-representations. In this situation, one can have equivalent sub-modules, leading to the existence of non-diagonal homogeneous Riemannian metrics. In particular, we prove the existence of non-diagonal Einstein metrics on real flag manifolds.
Cite
@article{arxiv.1907.02626,
title = {Invariant Einstein metrics on real flag manifolds with two or three isotropy summands},
author = {Brian Grajales and Lino Grama},
journal= {arXiv preprint arXiv:1907.02626},
year = {2020}
}
Comments
This (second) version is substantially expanded with respect to the first version. New title