Lie groups with negative Ricci curvature

WILL, CYNTHIA

Hannover

Workshop; Lie group actions in riemannian geometry; 2017

Dartmouth College

In this talk we will be interested in Lie groups admitting a metric with negative Ricci curvature. Although a great progress has been made lately, specially in the solvable case, the general case seems to be far from being completely understood. We will begin by introducing the known results and then we will show many new families of examples. Some of them have compact Levi factor, which is unexpected in some sense, and provide new topologies. On the opposite side, we will exhibit a family of examples where the Levy factor is almost any semisimple Lie algebra with no compact factors.