On Ricci negative Lie groups

Jorge Lauret; Cynthia E. Will

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arXiv · 1912.06204

On Ricci negative Lie groups

Jorge Lauret·Cynthia E. Will

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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.

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Jorge Lauret, Cynthia E. Will. 2019-12-19. On Ricci negative Lie groups. https://arxiv.org/abs/1912.06204

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