Results 161 to 170 of about 167,116 (196)

The Poisson equation on compact Ricci solitons and Ricci-harmonic solitons

Journal of Geometry, 2023
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Ricci soliton and geometrical structure in a perfect fluid spacetime with torse-forming vector field

Afrika Matematika, 2018
In 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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CLASSES OF GRADIENT RICCI SOLITONS

International Journal of Geometric Methods in Modern Physics, 2011
We 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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Riemannian submersions whose total manifolds admit a Ricci soliton

International Journal of Geometric Methods in Modern Physics (IJGMMP), 2019
In 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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A note on almost Ricci solitons

Analysis and Mathematical Physics, 2020
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Sharief Deshmukh, Hana Al-Sodais
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CONFORMAL RICCI SOLITON ON ALMOST CO-KÄHLER MANIFOLD

, 2020
In 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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Ricci Solitons and Paracontact Geometry

Mediterranean Journal of Mathematics, 2019
The 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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GEOMETRY OF THE RICCI SOLITON HYPERSURFACES

JP Journal of Geometry and Topology, 2016
Summary: 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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Kenmotsu Metric as Conformal $$\eta $$ η -Ricci Soliton

Mediterranean Journal of Mathematics, 2023
Yanlin Li, D. Ganguly
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CONTACT GEOMETRY AND RICCI SOLITONS

International Journal of Geometric Methods in Modern Physics, 2010
We 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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