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arXiv · 1705.04957

Randers Ricci soliton homogeneous nilmanifolds

Hamid Reza Salimi Moghaddam
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Abstract

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

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Hamid Reza Salimi Moghaddam. 2017-05-14. Randers Ricci soliton homogeneous nilmanifolds. https://doi.org/10.7146/math.scand.a-122610

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