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 $\hat{\text{a}}$ and a vector field $X$ which is $I_{\hat{\text{a}}}(M)$-invariant. 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.

References in corpus (1)

• The Relation Between Automorphism Group and Isometry Group of Randers Lie Groups