A note about invariant SKT structures and generalized Kahler structures on flag manifolds
Differential Geometry
2012-02-28 v4
Abstract
We prove that any invariant strong Kahler structure with torsion (SKT structure) on a flag manifold M=G/K of a semisimple compact Lie group G is Kahler. As an application we describe invariant generalized Kahler structures on M.
Keywords
Cite
@article{arxiv.1002.0445,
title = {A note about invariant SKT structures and generalized Kahler structures on flag manifolds},
author = {Dmitri V. Alekseevsky and Liana David},
journal= {arXiv preprint arXiv:1002.0445},
year = {2012}
}
Comments
9 pages; paper reorganized; title and abstract changed; reference [7] updated