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A note on almost Ricci solitons
Analysis and Mathematical Physics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sharief Deshmukh, Hana Al-Sodais
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CONTACT GEOMETRY AND RICCI SOLITONS
International Journal of Geometric Methods in Modern Physics, 2010We show that a compact contact Ricci soliton with a potential vector field V collinear with the Reeb vector field, is Einstein. We also show that a homogeneous H-contact gradient Ricci soliton is locally isometric to En+1 × Sn(4). Finally we obtain conditions so that the horizontal and tangential lifts of a vector field on the base manifold may be ...
Cho, Jong Taek, Sharma, Ramesh
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Ricci Solitons and Paracontact Geometry
Mediterranean Journal of Mathematics, 2019The present paper concerns Ricci solitons in the setting of paracontact metric geometry. A reduction result to Einstein or \(\eta \)-Einstein metrics is obtained in Theorem 10. The \(K\)-paracontact condition yields the expanding character of the soliton and the constancy of the scalar curvature. Also, \((k, \mu )\)-paracontact manifolds are considered.
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GEOMETRY OF THE RICCI SOLITON HYPERSURFACES
JP Journal of Geometry and Topology, 2016Summary: In this paper, we investigate the geometry of the Ricci soliton hypersurface \((M,g,f,\lambda)\) in a Euclidean space. We find sufficient conditions first for this Ricci soliton hypersurface to be totally geodesic and to be isometric to a sphere. We also study two special cases, when the mean curvature is constant and when the scalar curvature
Alsodais, Hana, Alodan, Haila
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η-Ricci solitons and almost η-Ricci solitons on para-Sasakian manifolds
International Journal of Geometric Methods in Modern Physics, 2019In this paper, we study para-Sasakian manifold [Formula: see text] whose metric [Formula: see text] is an [Formula: see text]-Ricci soliton [Formula: see text] and almost [Formula: see text]-Ricci soliton. We prove that, if [Formula: see text] is an [Formula: see text]-Ricci soliton, then either [Formula: see text] is Einstein and in such a case the ...
Naik, Devaraja Mallesha, Venkatesha, V.
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Kenmotsu Metric as Conformal $$\eta $$-Ricci Soliton
Mediterranean Journal of Mathematics, 2023Yanlin Li, Dipen Ganguly
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$$*$$-$$\eta $$-Ricci soliton and contact geometry
Ricerche Di Matematica, 2021Santu Dey +2 more
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Geometrical Structure in a Perfect Fluid Spacetime with Conformal Ricci–Yamabe Soliton
Symmetry, 2022Yanlin Li, Soumendu Roy, Santu Dey
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Sasakian 3-metric as a generalized Ricci-Yamabe soliton
Quaestiones Mathematicae, 2022Dibakar Dey, Pradip Majhi
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