Results 11 to 20 of about 1,253 (179)
Diagonalizing the Ricci Tensor [PDF]
The Journal of Geometric Analysis, 2020 LaTeX2e, 17 pages, final ...
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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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Classification of the Ricci tensor [PDF]
Communications in Mathematical Physics, 1971 This paper contains a classification of the Ricci tensorRαβ. The method of derivation is analogous to the spinor version of the Petrov classification of the Weyl tensor. It is shown how the various classes are related to the number and type of eigenvectors and eigenvalues ofRαβ. The classification is useful in the geometrization of various fields.
Ludwig, Garry, Scanlan, Gerry
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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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A Note on the Geometry of RW Space-Times
Mathematics, 2023 A conformally flat GRW space-time is a perfect fluid RW space-time. In this note, we investigated the influence of many differential curvature conditions, such as the existence of recurrent and semi-symmetric curvature tensors.
Sameh Shenawy +2 more
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An axially symmetric spacetime with causality violation in Ricci-inverse gravity
European Physical Journal C: Particles and Fields, 2023 In this paper, Ricci-inverse gravity is investigated. It is an alternative theory of gravity that introduces into the Einstein–Hilbert action an anti-curvature scalar that is obtained from the anti-curvature tensor which is the inverse of the Ricci ...
J. C. R. de Souza, A. F. Santos
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On the Geometry of the Riemannian Curvature Tensor of Nearly Trans-Sasakian Manifolds
Axioms, 2023 This paper presents the results of fundamental research into the geometry of the Riemannian curvature tensor of nearly trans-Sasakian manifolds. The components of the Riemannian curvature tensor on the space of the associated G-structure are counted, and
Aligadzhi R. Rustanov
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Conformal diffeomorphisms preserving the Ricci tensor [PDF]
Proceedings of the American Mathematical Society, 1995 We characterize semi-Riemannian manifolds admitting a global conformal transformation such that the difference of the two Ricci tensors is a constant multiple of the metric. Unless the conformal transformation is homothetic, the only possibilities are standard Riemannian spaces of constant sectional curvature and a particular warped product with a ...
Kühnel, W., Rademacher, H.-B.
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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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On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms
Universal Journal of Mathematics and Applications, 2023 In this paper, we consider Lorentz generalized Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of \ Lorentz generalized Sasakian space forms admitting $\eta-$Ricci soliton have ...
Mehmet Atçeken, Tuğba Mert
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