On Ricci negative Lie groups
Differential Geometry
2019-12-20 v2
Abstract
We give an overview of what is known on Lie groups admitting a left-invariant metric of negative Ricci curvature, including many natural questions and conjectures in the solvable case. We also introduce an open and convex cone C(n) of derivations attached to each nilpotent Lie algebra n, which is defined as the image of certain moment map and parametrizes a set of solvable Lie algebras with nilradical n admitting Ricci negative metrics.
Cite
@article{arxiv.1912.06204,
title = {On Ricci negative Lie groups},
author = {Jorge Lauret and Cynthia E. Will},
journal= {arXiv preprint arXiv:1912.06204},
year = {2019}
}
Comments
17 pages. Changes in Table 1