Results 151 to 160 of about 1,131 (182)
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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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Ricci Solitons and Gradient Ricci Solitons on Nearly Cosymplectic Manifolds
2021In this paper, we study nearly Kenmotsu manifolds with a Ricci soliton and we obtain certain conditions about curvature tensors.
Yıldırım, M., Ayar, Gülhan
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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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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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The Poisson equation on compact Ricci solitons and Ricci-harmonic solitons
Journal of Geometry, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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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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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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