Randers Ricci soliton homogeneous nilmanifolds

  • Hamid Reza Salimi Moghaddam

Abstract

Let $F$ be a left-invariant Randers metric on a simply connected nilpotent Lie group $N$, induced by a left-invariant Riemannian metric $\hat{\boldsymbol{a}}$ and a vector field $X$ which is $I_{\hat{\boldsymbol{a}}}(M)$-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.

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Published
2021-02-17
How to Cite
Salimi Moghaddam, H. (2021). Randers Ricci soliton homogeneous nilmanifolds. MATHEMATICA SCANDINAVICA, 127(1), 100-110. https://doi.org/10.7146/math.scand.a-122610
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Articles