Results 31 to 40 of about 222 (146)
(Almost) Ricci Solitons in Lorentzian–Sasakian Hom-Lie Groups
AxiomsWe study Lorentzian contact and Lorentzian–Sasakian structures in Hom-Lie algebras. We find that the three-dimensional sl(2,R) and Heisenberg Lie algebras provide examples of such structures, respectively.
Esmaeil Peyghan +3 more
doaj +2 more sources
MathematicsIn this article, we investigate Ricci solitons occurring on spacelike hypersurfaces of Einstein Lorentzian manifolds. We give the necessary and sufficient conditions for a spacelike hypersurface of a Lorentzian manifold, equipped with a closed conformal ...
Norah Alshehri, Mohammed Guediri
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∗-Conformal η-Ricci soliton on Sasakian manifold [PDF]
Asian-European Journal of Mathematics, 2021 In this paper, we study ∗-Conformal [Formula: see text]-Ricci soliton on Sasakian manifolds. Here, we discuss some curvature properties on Sasakian manifold admitting ∗-Conformal [Formula: see text]-Ricci soliton. We obtain some significant results on ∗-Conformal [Formula: see text]-Ricci soliton in Sasakian manifolds satisfying [Formula: see text ...
Roy, Soumendu +3 more
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Kenmotsu metric as conformal $η$-Ricci soliton
Journal of Geometry and Physics, 2021 The object of the present paper is to characterize the class of Kenmotsu manifolds which admits conformal $η$-Ricci soliton. Here, we have investigated the nature of the conformal $η$-Ricci soliton within the framework of Kenmotsu manifolds. It is shown that an $η$-Einstein Kenmotsu manifold admitting conformal $η$-Ricci soliton is an Einstein one ...
Sumanjit Sarkar +3 more
openaire +5 more sources
Almost Pseudo Symmetric Kähler Manifolds Admitting Conformal Ricci-Yamabe Metric
International Journal of Analysis and Applications, 2023 The novelty of the paper is to investigate the nature of conformal Ricci-Yamabe soliton on almost pseudo symmetric, almost pseudo Bochner symmetric, almost pseudo Ricci symmetric and almost pseudo Bochner Ricci symmetric Kähler manifolds.
Sunil Kumar Yadav +2 more
doaj +1 more source
Ricci solitons on singly warped product manifolds and applications [PDF]
, 2021 The purpose of this article is to study implications of a Ricci soliton warped product manifold to its base and fiber manifolds. First, it is proved that if a warped product manifold is Ricci soliton then its factors are Ricci soliton.
Sameh Shenawy +7 more
core +3 more sources
Conformally Flat Siklos Metrics Are Ricci Solitons [PDF]
Axioms, 2020 We study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons.
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ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS [PDF]
Communications in Contemporary Mathematics, 2011 In this paper, we first apply an integral identity on Ricci solitons to prove that closed locally conformally flat gradient Ricci solitons are of constant sectional curvature. We then generalize this integral identity to complete noncompact gradient shrinking Ricci solitons, under the conditions that the Ricci curvature is bounded from below and the ...
Cao, Xiaodong, Wang, Biao, Zhang, Zhou
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Geometrical Structure in a Perfect Fluid Spacetime with Conformal Ricci–Yamabe Soliton
, 2022 The present paper aims to deliberate the geometric composition of a perfect fluid spacetime with torse-forming vector field ξ in connection with conformal Ricci–Yamabe metric and conformal η-Ricci–Yamabe metric.
Soumendu Roy +4 more
core +1 more source
Conformal Ricci almost solitons with certain soliton vector fields
Indian Journal of Pure and Applied MathematicsAvijit Sarkar, Sarkar Avijit
exaly +2 more sources