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Characteristic Evolution and Matching. [PDF]
Winicour J.
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Theorems on Existence and Global Dynamics for the Einstein Equations. [PDF]
Rendall AD.
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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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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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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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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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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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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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