Recurrent conformal 2-forms on pseudo-Riemannian manifolds

DOI10.1142/S021988781450056XzbMath1407.53020OpenAlexW2110372084WikidataQ115245394 ScholiaQ115245394MaRDI QIDQ2925872

Young Jin Suh, Carlo Alberto Mantica

Publication date: 29 October 2014

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021988781450056x

zbMATH Keywords

Lorentzian metricspseudo-Riemannian manifoldsPetrov typesconformally recurrentconformal curvature tensorrecurrent conformal 2-formsWeyl compatible and Pontryagin forms

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Applications of local differential geometry to the sciences (53B50) Exact solutions to problems in general relativity and gravitational theory (83C15) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• On compact manifolds admitting indefinite metrics with parallel Weyl tensor
• On semisymmetric para-Kähler manifolds
• Segre types of symmetric two-tensors in \(n\)-dimensional spacetimes
• Weakly \(Z\)-symmetric manifolds
• Conformally symmetric semi-Riemannian manifolds.
• Conformal changes of Riemannian metrics
• Conformally recurrent semi-Riemannian manifolds
• PSEUDO-Q-SYMMETRIC RIEMANNIAN MANIFOLDS
• Minimal tensors and purely electric or magnetic spacetimes of arbitrary dimension
• A second-order identity for the Riemann tensor and applications
• Riemann compatible tensors
• Extended Derdziński–Shen theorem for curvature tensors
• Gravitational waves in general relativity. VI. The outgoing radiation condition
• Codazzi Tensor Fields, Curvature and Pontryagin Forms
• Recurrence conditions in space-time
• ALIGNMENT AND ALGEBRAICALLY SPECIAL TENSORS IN LORENTZIAN GEOMETRY
• Classification of the Weyl tensor in higher dimensions
• The closedness of some generalized curvature $2$-forms on a Riemannian manifold II
• On Riemann and Weyl compatible tensors
• Curvature properties of Gödel metric
• The closedness of some generalized curvature 2-forms on a Riemannian manifold I
• Complex recurrent space-times
• On Ruse's Spaces of Recurrent Curvature
• An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
• Some Theorems on Ricci-Recurrent Spaces
• General Relativity
• The classification of spaces defining gravitational fields

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