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arXiv · 1606.05493

Special solitons on 3-manifolds

Nasrin Malekzadeh·Esmaiel Abedi
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Abstract

In this paper, we study solitons on $3$-dimensional manifolds. In particular, we show that $3$-dimensional pseudo-symmetric gradient Ricci solitons and nontrivial gradient Yamabe solitons are locally isometric to either $\mathbb{R}^{3}$, $\mathbb{S}^{3}$, $\mathbb{H}^{3}$, $\mathbb{R} \times \mathbb{S}^{2}$ or $\mathbb{R} \times \mathbb{H}^{2}$.

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Nasrin Malekzadeh, Esmaiel Abedi. 2016-06-17. Special solitons on 3-manifolds. https://arxiv.org/abs/1606.05493

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