Results 131 to 140 of about 5,783 (167)

Remarks on Kähler–Ricci solitons

Advances in Geometry, 2015
Abstract 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, 2021
This 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, 2022
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Ovidiu Munteanu, Jiaping Wang
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Ricci Solitons and Gradient Ricci Solitons on Nearly Cosymplectic Manifolds

2021
In 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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The Poisson equation on compact Ricci solitons and Ricci-harmonic solitons

Journal of Geometry, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Geometry of Ricci Solitons*

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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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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