A class of four-dimensional warped products

• Autorzy: Defever F. , Deszcz R. , Głogowska M. , Goldberg V. V. , Verstralen L.
• Języki publikacji: EN

Abstrakty

EN

We investigate properties of 4-dimensional warped product manifolds satisfying a particular set of curvature conditions. As an application, we obtain a generalization of a pseudosymmetric property for Ricci-flat warped product spacetimes which was established previously in some special cases, including the Schwarzschild metric.

Słowa kluczowe

EN

Riemann spaces; Riemanniam manifold; pseudosymmetry type manifold

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 4
• Strony: 853--864
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Defever F.

• Departement Industriele Wetenschappen en Technologie, Katholieke Hogeschool Brugge-Oostende, Zeedijk 101, B-8400 Oostende, Belgium

autor

Deszcz R.

• Department of Mathematics, Agricultural University of Wroclaw, Grunwaldzka 53, 50-357 Wroclaw, Poland

autor

Głogowska M.

• Department of Mathematics, Agricultural University of Wroclaw, Grunwaldzka 53, 50-357 Wroclaw, Poland

autor

Goldberg V. V.

• Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, Newark, NJ 07102, U.S.A.

autor

Verstralen L.

• Department Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200b, B-3001 Leuven, Belgium

Bibliografia

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• [3] F. Defever and R. Deszcz, On semi-Riemannian manifolds satisfying the condition R-R - Q(S,R), in: Geometry and Topology of Submanifolds, III, World Sci. Publishing, River Edge, N J , 1991, 108-130.
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• [5] F. Defever, R. Deszcz and M. Prvanovic, On warped product manifolds satisfying some curvature condition of pseudosymmetry type, Bull. Greek Math. Soc. 36 (1994), 43-67.
• [6] R. Deszcz, On four-dimensional Riemannian warped product manifolds satisfying certain pseudo-symmetry curvature conditions, Colloq. Math. 62 (1991), 103-120.
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• [12] R. Deszcz, L. Verstraelen and L. Vrancken, On the symmetry of warped product spacetimes, Gen. Relativity Gravitation 23 (1991), 671-681.
• [13] M. Głogowska, Curvature properties of some four-dimensional manifolds, Demonstratio Math. 34 (2001), 901-918.
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• [15] L. Verstraelen, Comments on pseudo-symmetry in the sense of Ryszard Deszcz, in: Geometry and Topology of Submanifolds, VI, World Sci. Publishing, River Edge, NJ, 1994, 199-209.