Results 21 to 30 of about 1,253 (179)
Twistor Spaces with Hermitian Ricci Tensor [PDF]
Proceedings of the American Mathematical Society, 1990 The twistor space Z Z of an oriented Riemannian
Davidov, Johann, Mushkarov, Oleg
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The Weyl tensor of gradient Ricci solitons [PDF]
Geometry & Topology, 2016 This paper derives new identities for the Weyl tensor on a gradient Ricci soliton, particularly in dimension four. First, we prove a Bochner-Weitzenböck type formula for the norm of the self-dual Weyl tensor and discuss its applications, including connections between geometry and topology.
Cao, Xiaodong, Tran, Hung
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On Ricci tensors of Randers metrics
Journal of Geometry and Physics, 2010 In this paper, we study Randers metrics and find a condition on Ricci tensor of these metrics to be Berwaldian. This generalize Shen's Theorem which says: every R-°at complete Randers metric is locally Minkowskian. Then we find a necessary and sufficient condition on Ricci tensor under which a Randers metric of scalar °ag curvature is of zero °ag ...
Tayebi, A., Peyghan, E.
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The Evolution of the Weyl Tensor under the Ricci Flow [PDF]
Annales de l'Institut Fourier, 2011 We compute the evolution equation of the Weyl tensor under the Ricci flow of a Riemannian manifold and we discuss some consequences for the classification of locally conformally flat Ricci solitons.
GIOVANNI CATINO, MANTEGAZZA, Carlo Maria
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Multidimensional gravity with higher derivatives and inflation
Physics Letters B, 2020 We elaborate on the inflationary model starting from multidimensional Lagrangian and gravity with second-order curvature terms. The effective scalar field is related to the Ricci scalar of extra dimensions.
Júlio C. Fabris +2 more
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η-Ricci Solitons on Kenmotsu 3-Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 In the present paper we study η-Ricci solitons on Kenmotsu 3-manifolds. Moreover, we consider η-Ricci solitons on Kenmotsu 3-manifolds with Codazzi type of Ricci tensor and cyclic parallel Ricci tensor.
De Krishnendu, De Uday Chand
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Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms
Communications in Advanced Mathematical Sciences, 2023 In this paper, we consider pseudosymmetric Lorentz Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz Sasakian space forms admits $\eta-$Ricci soliton have introduced according ...
Mehmet Atçeken, Tuğba Mert
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Ricci Collineations for Non-degenerate, Diagonal and Spherically Symmetric Ricci Tensors [PDF]
General Relativity and Gravitation, 2000 The expression of the vector field generator of a Ricci Collineation for diagonal, spherically symmetric and non-degenerate Ricci tensors is obtained. The resulting expressions show that the time and radial first derivatives of the components of the Ricci tensor can be used to classify the collineation, leading to 64 families.
Contreras, G. +2 more
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η-Ricci Solitons on Sasakian 3-Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip +2 more
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Variational theory of the Ricci curvature tensor dynamics
European Physical Journal C: Particles and Fields, 2021 In this letter a new Lagrangian variational principle is proved to hold for the Einstein field equations, in which the independent variational tensor field is identified with the Ricci curvature tensor $$R^{\mu \nu }$$ R μ ν rather than the metric tensor
Claudio Cremaschini +3 more
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