Results 151 to 160 of about 167,116 (196)
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Conformal Submersions Whose Total Manifolds Admit a Ricci Soliton
Mediterranean Journal of Mathematics, 2022In this paper, we study conformal submersions from Ricci solitons to Riemannian manifolds with non-trivial examples. First, we study some properties of the O’Neill tensor A in the case of conformal submersion.
Kiran Meena, A. Yadav
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Conformal Ricci soliton and almost conformal Ricci soliton in paracontact geometry
International Journal of Geometric Methods in Modern Physics (IJGMMP), 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 ...
S. Dey
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Ricci soliton vector fields of Kantowski–Sachs spacetimes
Modern Physics Letters A, 2022In this paper our focus is on exploring the Ricci solitons of the Kantowski–Sachs spacetime. All the obtained Ricci solitons are expanding only. Also in all the cases except one case, Ricci soliton manifolds are Einstein and hence the Ricci solitons are ...
Ahmad T. Ali, Suhail Khan
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Remarks on Kähler–Ricci solitons
Advances in Geometry, 2015Abstract We prove that a compact complex manifold endowed with a Kähler-Ricci soliton cannot be isometrically embedded in a complex projective space ℂℙn in such a way that the Gauss map is rational, unless the metric is Einstein. This applies to hypersurfaces of complex compact homogeneous spaces canonically embedded in ℂℙn.We moreover ...
BEDULLI, LUCIO, Gori A.
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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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Conformal Ricci soliton and geometrical structure in a perfect fluid spacetime
, 2020In this paper, we studied the geometrical aspects of a perfect fluid spacetime in terms of conformal Ricci soliton and conformal η-Ricci soliton with torse-forming vector field ξ.
M. Siddiqi, S. Siddiqui
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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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Ricci soliton and pseudo-Einstein real hypersurfaces in the complex hyperbolic quadric
, 2020First we introduce a new notion of Ricci-soliton and pseudo-Einstein for real hypersurfaces in the noncompact complex hyperbolic quadric S O 2 , m 0 ∕ S O 2 S O m . Next as an application we will prove non-existence properties of Ricci soliton and pseudo-
Y. Suh
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