Kenmotsu Metric as Conformal $$\eta $$ η -Ricci Soliton
Mediterranean Journal of Mathematics, 2023Yanlin Li, D. Ganguly
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Extremals of Log Sobolev inequality on non-compact manifolds and Ricci soliton structures
Calculus of Variations and Partial Differential Equations, 2016In this paper we establish the existence of extremals for the Log Sobolev functional on complete non-compact manifolds with Ricci curvature bounded from below and strictly positive injectivity radius, under a condition near infinity.
M. Rimoldi, G. Veronelli
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RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON NEARLY COSYMPLECTIC MANIFOLDS
2021In this article, a number of properties have been obtained by examining Ricci solitons and gradient Ricci solitons on nearly cosymplectic manifolds.
YILDIRIM, Mustafa, AYAR, Gülhan
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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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Rigidity of Finsler gradient steady Ricci soliton
Calculus of Variations and Partial Differential Equations, 2023Hongmei Zhu, Peijuan Rao
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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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Gradient generalized $$\eta $$ η -Ricci soliton and contact geometry
, 2022Amalendu Ghosh
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Conformal Ricci soliton and quasi-Yamabe soliton on generalized Sasakian space form
, 2021D. Ganguly +3 more
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Conformal Vector Fields and Ricci Soliton Structures on Natural Riemann Extensions
Mediterranean Journal of Mathematics, 2021M. Abbassi, Noura Amri, C. Bejan
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