Results 31 to 40 of about 240 (146)
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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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
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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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A NOTE ON *-CONFORMAL AND GRADIENT *-CONFORMAL eta-RICCI SOLITONS IN alpha-COSYMPLECTIC MANIFOLDS
, 2022 In the present paper we study the properties of alpha-cosymplectic manifolds endowed with *-conformal eta-Ricci solitons and gradient *-conformal eta-Ricci ...
Chaubey, Sudhakar K. +3 more
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SOME CHARACTERIZATIONS OF α-COSYMPLECTIC MANIFOLDS ADMITTING ∗-CONFORMAL RICCI SOLITIONS [PDF]
, 2022 The object of the present paper is to give some characterizations of α-cosymplectic manifolds admitting ∗-conformal Ricci solitons.
Das, Subrata Kumar, Sarkar, Avijit
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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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$$*$$-Conformal $$\eta $$-Ricci soliton within the framework of Kenmotsu manifolds
Ricerche di Matematica, 2023 The goal of our present paper is to deliberate $*$-conformal $η$-Ricci soliton within the framework of Kenmotsu manifolds. Here we have shown that a Kenmotsu metric as a $*$-conformal $η$-Ricci soliton is Einstein metric if the soliton vector field is contact.
Sumanjit Sarkar, Santu Dey
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On locally conformally flat gradient steady Ricci solitons [PDF]
Transactions of the American Mathematical Society, 2012 16 pages; final version, to appear in Trans. Amer.
Cao, Huai-Dong, Chen, Qiang
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Locally Conformally Flat Lorentzian Gradient Ricci Solitons [PDF]
Journal of Geometric Analysis, 2011 It is shown that locally conformally flat Lorentzian gradient Ricci solitons are locally isometric to a Robertson-Walker warped product, if the gradient of the potential function is non null, and to a plane wave, if the gradient of the potential function is null. The latter gradient Ricci solitons are necessarily steady.
Brozos-Vázquez, M. +2 more
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Conformal Ricci solitons on generalized (κ,μ)-space forms
International Journal of Geometric Methods in Modern Physics, 2022 In this paper, we study conformal Ricci solitons and conformal gradient Ricci solitons on generalized [Formula: see text]-space forms. The conditions for the solitons to be shrinking, steady and expanding are derived in terms of conformal pressure [Formula: see text]. We show under what conditions a Ricci semi-symmetric generalized [Formula: see text]-
Lone, Mehraj Ahmad, Wani, Towseef Ali
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