Journal ArticleDOI
Yamabe solitons on 3-dimensional contact metric manifolds with Qφ = φQ
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In this paper, a 3D contact metric manifold such that Qφ = φQ which admits a Yamabe soliton (g,V ) with the flow vector field V pointwise collinear with the Reeb vector field ξ is considered.Abstract:
If M is a 3-dimensional contact metric manifold such that Qφ = φQ which admits a Yamabe soliton (g,V ) with the flow vector field V pointwise collinear with the Reeb vector field ξ, then we show th...read more
Citations
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Journal ArticleDOI
η-Ricci solitons and almost η-Ricci solitons on para-Sasakian manifolds
TL;DR: In this paper, the authors studied a para-Sakian manifold whose metric g is an η-Ricci soliton (g,V ) and almost η Ricci solitons.
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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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Almost quasi-Yamabe solitons on almost cosymplectic manifolds
TL;DR: In this article, it was shown that an almost cosymplectic manifold admits almost quasi-Yamabe solitons (g,V,m,λ) and is locally isomorphic to a Lie manifold.
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A note on quasi-Yamabe solitons on contact metric manifolds
Chiranjib Dey,Uday Chand De +1 more
TL;DR: In this article, it was shown that if a contact metric manifold admits a quasi-Yamabe soliton whose soliton field is the V-Ric vector field, then the Ricci operator Q commutes with the (1, 1) tensor.
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Almost Kenmotsu $$(k,\mu )'$$ ( k , μ ) ′ -manifolds with Yamabe solitons
TL;DR: In this article, it was shown that if the metric g represents a Yamabe soliton, then it is locally isometric to the product space and the contact transformation is a strict infinitesimal contact transformation.
References
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Book
Riemannian Geometry of Contact and Symplectic Manifolds
TL;DR: In this article, the authors describe a complex geometry model of Symplectic Manifolds with principal S1-bundles and Tangent Sphere Bundles, as well as a negative Xi-sectional Curvature.
Journal ArticleDOI
The yamabe flow on locally conformally flat manifolds with positive ricci curvature
Journal ArticleDOI
Convergence of the Yamabe flow for arbitrary initial energy
TL;DR: In this article, the convergence of the Yamabe flow was shown to hold if the dimension of the initial metric is locally conformally flat and the curvature of the scalar curvature is known.