Negative eigenvalues of the Ricci operator of solvable metric Lie algebras
Differential Geometry
2020-05-19 v2
Abstract
In this paper we get a necessary and sufficient condition for the Ricci operator of a solvable metric Lie algebra to have at least two negative eigenvalues. In particular, this condition implies that the Ricci operator of every non-unimodular solvable metric Lie algebra or every non-abelian nilpotent metric Lie algebra has this property.
Keywords
Cite
@article{arxiv.1209.4171,
title = {Negative eigenvalues of the Ricci operator of solvable metric Lie algebras},
author = {Yu. G. Nikonorov},
journal= {arXiv preprint arXiv:1209.4171},
year = {2020}
}
Comments
16 pages, minor corrections