Affordable Access

Invariant Einstein metrics on flag manifolds with four isotropy summands

Authors
  • Arvanitoyeorgos, Andreas
  • Chrysikos, Ioannis
Type
Preprint
Publication Date
Jun 13, 2009
Submission Date
Apr 10, 2009
Identifiers
arXiv ID: 0904.1690
Source
arXiv
License
Yellow
External links

Abstract

A generalized flag manifold is a homogeneous space of the form $G/K$, where $K$ is the centralizer of a torus in a compact connected semisimple Lie group $G$. We classify all flag manifolds with four isotropy summands and we study their geometry. We present new $G$-invariant Einstein metrics by solving explicity the Einstein equation. We also examine the isometric problem for these Einstein metrics.

Report this publication

Statistics

Seen <100 times