Homogeneous Einstein metrics on SU(n)
Mathematical Physics
2015-05-30 v1 math.MP
Abstract
It is known that every compact simple Lie group admits a bi-invariant homogeneous Einstein metric. In this paper we use two ansatz to probe the existence of additional inequivalent Einstein metrics on the Lie group SU (n) for arbitrary n. We provide an explicit construction of (2k+1) inequivalent Einstein metrics on SU (2k) and 2k inequivalent Einstein metrics on SU (2k + 1).
Cite
@article{arxiv.1110.1978,
title = {Homogeneous Einstein metrics on SU(n)},
author = {Abid H. Mujtaba},
journal= {arXiv preprint arXiv:1110.1978},
year = {2015}
}
Comments
10 pages. Research conducted as Graduate Student. Advisor: Dr. Christopher Pope (Dept. of Physics and Astronomy, Texas A&M University)