On Roter type warped products with 1-dimensional fibres

DOI10.1016/j.geomphys.2013.02.006zbMath1357.53028OpenAlexW2087537356MaRDI QIDQ387259

Ryszard Deszcz, Matthias Plaue, Mike Scherfner

Publication date: 20 December 2013

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2013.02.006

zbMATH Keywords

warped productpseudosymmetric manifoldRoter-type manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Applications of local differential geometry to the sciences (53B50) Local Riemannian geometry (53B20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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Cites Work

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• Spinning particles in Reissner-Nordström-de Sitter spacetime
• On Ricci-pseudosymmetric hypersurfaces in spaces of constant curvature
• On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces
• On four-dimensional Riemannian warped product manifolds satisfying certain pseudo-symmetry curvature conditions
• Exact Solutions of Einstein's Field Equations
• On some class of pseudosymmetric warped products
• Semi-Riemannian manifolds whose Weyl tensor is a Kulkarni-Nomizu square
• On some Akivis-Goldberg type metrics
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