A classification of Roter type spacetimes-Reference-Cited by-同舟云学术

A classification of Roter type spacetimes

Published:2021-06-21 Issue:09 Volume:18 Page:2150147
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Decu Simona¹²,Deszcz Ryszard³,Haesen Stefan⁴^ORCID

Affiliation:

1. Department of Applied Mathematics, Bucharest University of Economic Studies, Piata Romana 6, 010374 Bucharest, Romania

2. Romanian Academy, Costin C. Kiriţescu National Institute of Economic Research—Centre of Mountain Economy (CE-MONT), 13 Calea 13 Septembrie, 030508 Bucharest, Romania

3. Department of Applied Mathematics, Wrocław University of Environmental and Life Sciences, Grunwaldzka 53, 50-537 Wrocław, Poland

4. Department of Mathematics, University of Hasselt, BE 3590 Diepenbeek, Belgium

Abstract

In this paper, an algebraic classification of the Roter type spacetimes is given. It follows that the Roter type curvature condition is essentially equivalent with the pseudosymmetry condition on 4-dimensional Lorentzian manifolds.

Funder

Wroclaw University of Environmental and Life Sciences

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887821501474

Reference39 articles.

1. Geometry of Hypersurfaces

2. Recent developments in Wintgen inequality and Wintgen ideal submanifolds

3. On warped product manifolds satisfying some curvature conditions

4. On pseudosymmetric space–times

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