Solvable extensions of negative Ricci curvature of filiform Lie groups
Solvable extensions of negative Ricci curvature of filiform Lie groups
We give necessary and sufficient conditions of the existence of a left‐invariant metric of strictly negative Ricci curvature on a solvable Lie group the nilradical of whose Lie algebra is a filiform Lie algebra . It turns out that such a metric always exists, except for in the two cases, …