38 citations · 41 across the 9 of their papers we have counts for
3 papers · 1 filter
On the signature of the Ricci curvature on nilmanifolds
Romina M. Arroyo, Ramiro A. Lafuente
We completely describe the signatures of the Ricci curvature of left-invariant Riemannian metrics on arbitrary real nilpotent Lie groups. The main idea in the proof is to exploit a…
The prescribed Ricci curvature problem for naturally reductive metrics on non-compact simple Lie groups
Romina M. Arroyo, Mark D. Gould, Artem Pulemotov
We investigate the prescribed Ricci curvature problem in the class of left-invariant naturally reductive Riemannian metrics on a non-compact simple Lie group. We obtain a number of…
The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups
Romina M. Arroyo, Artem Pulemotov, Wolfgang Ziller
We study the problem of prescribing the Ricci curvature in the class of naturally reductive metrics on a compact Lie group. We derive necessary as well as sufficient conditions for…