Results 201 to 210 of about 163,995 (245)
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∗-η-Ricci Soliton within the Framework of Sasakian Manifold
, 2020In this paper we study ∗-η-Ricci soliton on Sasakian manifolds. Here, we have discussed some curvature properties on Sasakian manifold admitting ∗-η-Ricci soliton.
S. Dey, Soumendu Roy
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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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CONFORMAL RICCI SOLITON ON ALMOST CO-KÄHLER MANIFOLD
, 2020In this paper, we study almost coKähler manifolds admitting the conformal Ricci soliton and determine the value of the soliton constant λ and hence the condition for the soliton to be shrinking, steady or expanding.
D. Ganguly, A. Bhattacharyya
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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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Ricci soliton and geometrical structure in a perfect fluid spacetime with torse-forming vector field
Afrika Matematika, 2018In this paper geometrical aspects of perfect fluid spacetime with torse-forming vector field $$\xi $$ξ are described and Ricci soliton in perfect fluid spacetime with torse-forming vector field $$\xi $$ξ are determined.
Venkatesha, H. Kumara
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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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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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Riemannian submersions whose total manifolds admit a Ricci soliton
International Journal of Geometric Methods in Modern Physics (IJGMMP), 2019In this paper, we study Riemannian submersions whose total manifolds admit a Ricci soliton. Here, we characterize any fiber of such a submersion is Ricci soliton or almost Ricci soliton.
Ş. Meriç, E. Kiliç
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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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