Eta-Ricci Solitons and Gradient Ricci Solitons On Nearly Kenmotsu Manifolds.
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Tarih
2018
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info:eu-repo/semantics/closedAccess
Özet
In this paper, we study Ricci solitons and gradient Ricci solitons on nearly Kenmotsu manifolds. After giving some basic definitions, we prove that in a nearly Kenmotsu manifold, if the metric g admits a Ricci soliton (g,v, ?) and V is pointwise collinear with ? , then the manifold is an ?-Einstein manifold and, in particular, an Einstein manifold. Moreover, we show that if a nearly Kenmotsu manifold admits a compact Ricci soliton, then the manifold is Einstein. Finally, we prove that if an ?-Einstein nearly Kenmotsu manifold admits a gradient Ricci soliton, then the manifold reduces to an Einstein manifold under certain conditions.
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1st International Conference on Mathematical and Related Sciences
