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arXiv · 1902.08176

Ricci $\rho$-solitons on 3-dimensional $\eta$-Einstein almost Kenmotsu mandifolds

Sh. Azami·Gh. Fasihi-Ramandi
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Abstract

In this paper the notion of Ricci $\rho$-soliton as a generalization of Ricci soliton is defined. We are motivated by the Ricci-Bourguignon flow to define this concept. We show that if a 3- dimensional almost Kenmotsu Einstein manifold $M$ be a $\rho$-soliton, then $M$ is a Kenmotsu manifold of constant sectional curvature $-1$ and the $\rho$-soliton is expanding, with $\lambda =2$.

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Sh. Azami, Gh. Fasihi-Ramandi. 2019-02-20. Ricci $\rho$-solitons on 3-dimensional $\eta$-Einstein almost Kenmotsu mandifolds. https://arxiv.org/abs/1902.08176

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