Ricci solitons in almost $f$-cosymplectic manifolds
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In this article, the Ricci solitons on an almost cosymplectic manifold were studied and it was shown that they do not exist on such a manifold and that the potential vector field is the Reeb vector field.Abstract:
In this article we study an almost $f$-cosymplectic manifold admitting a Ricci soliton. We first prove that there do not exist Ricci solitons on an almost cosymplectic $(\kappa,\mu)$-manifold. Further, we consider an almost $f$-cosymplectic manifold admitting a Ricci soliton whose potential vector field is the Reeb vector field and show that a three dimensional almost $f$-cosymplectic is a cosymplectic manifold. Finally we classify a three dimensional $\eta$-Einstein almost $f$-cosymplectic manifold admitting a Ricci soliton..read more
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Journal ArticleDOI
Ricci Solitons on Homogeneous Almost $$\alpha $$ α -Cosymplectic Three-Manifolds
Journal ArticleDOI
Ricci Solitons on Homogeneous Almost α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document}-Cosymple
Journal ArticleDOI
Almost Cosymplectic $$(k,\mu )$$ ( k , μ ) -metrics as $$\eta$$ η -Ricci Solitons
TL;DR: In this paper, the Ricci solitons on almost cosymplectic manifold were studied and it was shown that the potential vector field is a strict infinitesimal contact transformation.