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arXiv · 1801.05530

Notes on Ricci solitons in $f$-cosymplectic manifolds

Xiaomin Chen
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Abstract

The purpose of this article is to study an $f$-cosymplectic manifold $M$ admitting Ricci solitons. Here we consider mainly two classes of Ricci solitons on $f$-cosymplectic manifolds. One is the class of contact Ricci solitons. The other is the class of gradient Ricci solitons, for which we give the local classifications of $M$. Meanwhile, we also give some properties of $f$-cosymplectic manifolds.

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Xiaomin Chen. 2018-01-17. Notes on Ricci solitons in $f$-cosymplectic manifolds. https://doi.org/10.15407/mag13.03.242

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