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Ricci solitons and gradient Ricci solitons on $3$-dimensional normal almost contact metric manifolds

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This article is published in Publicationes Mathematicae Debrecen.The article was published on 2012-02-01. It has received 12 citations till now. The article focuses on the topics: Metric (mathematics).

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RICCI SOLITONS ON THREE-DIMENSIONAL $\eta$-EINSTEIN ALMOST KENMOTSU MANIFOLDS

TL;DR: In this article, it was shown that the Ricci soliton of a three-dimensional (3D)-Einstein almost-Einstein soliton is a Ricci manifold of constant sectional curvature.
Journal ArticleDOI

Contact 3-manifolds and $*$-Ricci soliton

TL;DR: In this article, it was shown that the Ricci soliton of a 3-dimensional Kenmotsu manifold is locally isometric to the hyperbolic 3-space and the potential vector field coincides with the Reeb vector field.
Journal ArticleDOI

Ricci solitons in 3-dimensional normal almost paracontact metric manifolds

TL;DR: In this paper, it was shown that if the potential vector field V is collinear with the characteristic vector field ξ, then the manifold is η-Einstein.
Journal ArticleDOI

Gradient Ricci solitons on multiply warped product manifolds

Fatma Karaca, +1 more
- 01 Jan 2018 - 
TL;DR: In this article, the necessary and sufficient conditions for multiply warped product manifolds to be gradient Ricci solitons were studied and they were shown to be sufficient and sufficient for them.
Journal ArticleDOI

Gradient Yamabe Solitons on Multiply Warped Product Manifolds

Fatma Karaca
TL;DR: In this article, the necessary and sufficient conditions for multiply warped product manifolds to be gradient Yamabe solitons were studied and they were shown to be sufficient and sufficient for them.
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