Results 21 to 30 of about 1,179 (183)
Weyl structures with positive Ricci tensor
Differential Geometry and its Applications, 2003 We prove the vanishing of the first Betti number on compact manifolds admitting a Weyl structure whose Ricci tensor satisfies certain positivity conditions, thus obtaining a Bochner-type vanishing theorem in Weyl geometry. We also study compact Hermitian-Weyl manifolds with non-negative symmetric part of the Ricci tensor of the canonical Weyl ...
Alexandrov, B, Ivanov, S
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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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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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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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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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RICCI and Matter Collineations of SOM-ROY Chaudhary Symmetric Space Time
Mehran University Research Journal of Engineering and Technology, 2018 gThis paper is devoted to explore the RICCI and MCs (Matter Collineations of the Som-Ray Chaudhary spacetime. The spacetime under consideration is one of the spatially homogeneous and rotating spacetimes.
Muhammad Ramzan +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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The Ricci tensor of almost parahermitian manifolds [PDF]
Annals of Global Analysis and Geometry, 2017 36 pages; v2, minor corrections, two references added, presentation improved; v3, clarified definition of \overline{F}; corrected coefficients in Proposition 12, fixed typos in statements of Lemma 13 and Theorem ...
Conti, D, Rossi, FA
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On Some Ricci Curvature Tensors in Finsler Geometry
Mediterranean Journal of Mathematics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sengelen Sevim, Esra +2 more
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Complete Riemannian manifolds with Killing — Ricci and Codazzi — Ricci tensors
Differential Geometry of Manifolds of Figures, 2022 The purpose of this paper is to prove of Liouville type theorems, i. e., theorems on the non-existence of Killing — Ricci and Codazzi — Ricci tensors on complete non-compact Riemannian manifolds. Our results complement the two classical vanishing theorems from the last chapter of famous Besse’s monograph on Einstein manifolds.
S.E. Stepanov, I. I. Tsyganok, J. Mikeš
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