On quasi-Sasakian 3-manifolds admitting η-Ricci solitons
TLDR
In this paper, it was shown that in a quasi-Sasakian 3-manifold admitting Ricci soliton, the structure function is a constant, which is the same as in the present paper.Abstract:
The object of the present paper is to prove that in a quasi-Sasakian\n 3-manifold admitting ?-Ricci soliton, the structure function ? is a\n constant. As a consequence we obtain several important results.read more
Citations
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LP-Kenmotsu Manifolds Admitting η-Ricci Solitons and Spacetime
TL;DR: In this article , the existence of Ricci solitons in LP-Kenmotsu manifolds in the spacetime of general relativity has been proved through a nontrivial example.
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Gradient Yamabe and Gradient m-Quasi Einstein Metrics on Three-dimensional Cosymplectic Manifolds
TL;DR: In this paper, the authors characterize the gradient Yamabe and the gradient m-quasi Einstein solitons within the framework of three-dimensional cosymplectic manifolds.
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Characterization of three-dimensional Riemannian manifolds with a type of semi-symmetric metric connection admitting Yamabe soliton
S. K. Chaubey,Uday Chand De +1 more
TL;DR: In this article, it was shown that a 3D Riemannian manifold endowed with a semi-symmetric ρ-connection, whose metric is a Yamabe soliton, is a manifold of constant sectional curvature − 1 and the soliton is expanding with soliton constant − 6.
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Characterization of perfect fluid spacetimes admitting gradient η-Ricci and gradient Einstein solitons
TL;DR: In this article, the properties of perfect fluid spacetimes endowed with the gradient η -Ricci and gradient Einstein solitons were studied, and the authors set the goal to study the properties.
References
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Ricci solitons and real hypersurfaces in a complex space form
Jong Taek Cho,Makoto Kimura +1 more
TL;DR: In this article, it was shown that a real hypersurface in a non-flat complex space form does not admit a Ricci soliton whose potential vector field is the Reeb vector field.
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η-Ricci solitons on Lorentzian para-Sasakian manifolds
TL;DR: In this article, the existence of Ricci solitons on a Lorentzian para-Sasakian manifold was shown to imply that (M, φ, ξ, η, 1) is an elliptic manifold.