A class of four-dimensional warped products

Authors

F. Defever, Katholieke Hogeschool Brugge-Oostende
R. Deszcz, University of Wrocław
M. Głogowska, University of Wrocław
V. V. Goldberg, New Jersey Institute of Technology
L. Verstraelen, KU Leuven

Document Type

Article

Publication Date

10-1-2002

Abstract

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.

Identifier

84977792269 (Scopus)

Publication Title

Demonstratio Mathematica

External Full Text Location

https://doi.org/10.1515/dema-2002-0416

e-ISSN

23914661

ISSN

04201213

First Page

853

Last Page

864

Issue

4

Volume

35

Recommended Citation

Defever, F.; Deszcz, R.; Głogowska, M.; Goldberg, V. V.; and Verstraelen, L., "A class of four-dimensional warped products" (2002). Faculty Publications. 14606.
https://digitalcommons.njit.edu/fac_pubs/14606