Randers ricci soliton homogeneous nilmanifolds

Abstract

Let F be a left-invariant Randers metric on a simply connected nilpotent Lie group N, induced by a left-invariant Riemannian metric â and a vector field X which is Iâ (M)-invariant. We show that if the Ricci flow equation has a unique solution then, (N, F) is a Ricci soliton if and only if (N, F) is a semialgebraic Ricci soliton. © 2021 Mathematica Scandinavica. All rights reserved.