On locally homogeneous pseudo-Riemannian compact einstein manifolds
Differential Geometry
2020-06-17 v1
Abstract
We ask a general question: what are locally homogeneous compact pseudo-Riemannian Einstein manifolds? We show that any standard compact Clifford-Klein form of a simple non-compact Lie group admits at least one Einstein metric. We conjecture that these are basically the only possible locally homogeneous Einstein pseudo-Riemannian compact manifolds using T. Kobayashi's conjecture as a guiding principle.
Keywords
Cite
@article{arxiv.2006.04195,
title = {On locally homogeneous pseudo-Riemannian compact einstein manifolds},
author = {Maciej Bochenski and Aleksy Tralle},
journal= {arXiv preprint arXiv:2006.04195},
year = {2020}
}
Comments
To appear in Journal of Geometry and Physics