Solvable Lie groups of negative Ricci curvature
Differential Geometry
2020-05-19 v1
Abstract
We consider the question of whether a given solvable Lie group admits a left-invariant metric of strictly negative Ricci curvature. We give necessary and sufficient conditions of the existence of such a metric for the Lie groups the nilradical of whose Lie algebra is either abelian or Heisenberg or standard filiform, and discuss some open questions.
Keywords
Cite
@article{arxiv.1312.6803,
title = {Solvable Lie groups of negative Ricci curvature},
author = {Y. Nikolayevsky and Yu. G. Nikonorov},
journal= {arXiv preprint arXiv:1312.6803},
year = {2020}
}
Comments
18 pages