Results 171 to 180 of about 10,189 (207)
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LCS-manifolds and Ricci solitons
International Journal of Geometric Methods in Modern Physics, 2021This paper is concerned with the study of [Formula: see text]-manifolds and Ricci solitons. It is shown that in a [Formula: see text]-spacetime, the fluid has vanishing vorticity and vanishing shear. It is found that in an [Formula: see text]-manifold, [Formula: see text] is an irrotational vector field, where [Formula: see text] is a non-zero smooth ...
Absos Ali Shaikh +3 more
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Ends of Gradient Ricci Solitons
The Journal of Geometric Analysis, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ovidiu Munteanu, Jiaping Wang
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$$\eta$$-$$*$$-Ricci solitons and paracontact geometry
The Journal of Analysis, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GEZER, Aydın +2 more
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Chinese Annals of Mathematics, Series B, 2006
This paper is a survey of recent developments on Ricci solitons. \ A Ricci soliton is a complete Riemannian metric \(g_{ij}\) on a manifold \(M\) having a vector field \(V\) and constant \(\rho \) so that the Ricci tensor satisfies \(2R_{ij}+\nabla _{i}V_{j}+\nabla _{j}V_{i}=2\rho g_{ij}.\) These are generalization of Einstein metrics.
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This paper is a survey of recent developments on Ricci solitons. \ A Ricci soliton is a complete Riemannian metric \(g_{ij}\) on a manifold \(M\) having a vector field \(V\) and constant \(\rho \) so that the Ricci tensor satisfies \(2R_{ij}+\nabla _{i}V_{j}+\nabla _{j}V_{i}=2\rho g_{ij}.\) These are generalization of Einstein metrics.
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CLASSES OF GRADIENT RICCI SOLITONS
International Journal of Geometric Methods in Modern Physics, 2011We introduce a study of Riemannian manifold M = ℝ2 endowed with a metric of diagonal type of the form [Formula: see text], where g is a positive function, of C∞-class, depending on the variable x2 only. We emphasize the role of metric [Formula: see text] in determining manifolds having negative, null or positive sectional curvature.
Bercu, Gabriel, Postolache, Mihai
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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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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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Conformal Ricci soliton and almost conformal Ricci soliton in paracontact geometry
International Journal of Geometric Methods in Modern Physics, 2022In this paper, we study conformal Ricci soliton and almost conformal Ricci soliton within the framework of paracontact manifolds. Here, we have shown the characteristics of the soliton vector field and the nature of the manifold if para-Sasakian metric satisfies conformal Ricci soliton. We also demonstrate the feature of the soliton vector field V and
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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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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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