Ricci solitons on η-einstein contact manifolds
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40 citations
"Ricci solitons on η-einstein contac..." refers background in this paper
...There are two aspects of the study of Ricci solitons, one looking at the influence on the topology by the Ricci soliton structure of the Riemannian manifold ([19],[37]) and the other looking at its influence on its geometry ([20], [21])....
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38 citations
"Ricci solitons on η-einstein contac..." refers background in this paper
...In addition, Ricci solitons on f-Kenmotsu manifolds and N(k)-quasi-Einstein manifolds were also studied by C. Calin and M. Crasmareanu [14] and M. Crasmareanu [13] respectively In a recent paper J.T. Cho [12] studied Ricci solitons on almost contact geometry and proved that a three dimensional contact Ricci soliton (1, ξ) is Sasakian and of constant curvature +1....
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...An almost contact metric manifold is a Sasakian manifold if and only if (∇Xφ)(Y) = 1(X,Y)ξ − η(Y)X, where X,Y ∈ χ(M) and ∇ is the Levi-Civita connection of the Riemannian metric 1....
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...A normal contact metric manifold is a Sasakian manifold....
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...For instances, De et al. [18] and Turan et al. [33] investigated Ricci solitons and gradient Ricci solitons on threedimensional normal almost contact metric manifolds and three-dimensional trans- Sasakian manifolds respectively....
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...However a 3-dimensional K-contact metric manifold is Sasakian [28]....
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33 citations
"Ricci solitons on η-einstein contac..." refers background in this paper
...[34] studied Ricci solitons on three dimensional η-Einstein almost Kenmotsu manifolds....
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...Ricci solitons have been studied by several authors such as ([6], [10], [11], [12], [17], [34], [35]) and many others....
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31 citations
"Ricci solitons on η-einstein contac..." refers background in this paper
...Ricci solitons have been studied by several authors such as ([6], [10], [11], [12], [17], [34], [35]) and many others....
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27 citations