English

Randers Ricci soliton homogeneous nilmanifolds

Differential Geometry 2024-07-23 v2

Abstract

Let FF be a left invariant Randers metric on a simply connected nilpotent Lie group NN, induced by a left invariant Riemannian metric a^{\hat{\textbf{\textit{a}}}} and a vector field XX which is Ia^(M)I_{\hat{\textbf{\textit{a}}}}(M)-invariant. If the Ricci flow equation has a unique solution then, (N,F)(N,F) is a Ricci soliton if and only if (N,F)(N,F) is a semialgebraic Ricci soliton.

Keywords

Cite

@article{arxiv.1705.04957,
  title  = {Randers Ricci soliton homogeneous nilmanifolds},
  author = {Hamid Reza Salimi Moghaddam},
  journal= {arXiv preprint arXiv:1705.04957},
  year   = {2024}
}