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On warped product manifolds satisfying some curvature conditions
Affiliation:1. Department of Mathematics, Wrocław University of Environmental and Life Sciences, Grunwaldzka 53, 50-357 Wrocław, Poland;2. Mathematical Institute, Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11001 Beograd, p.p. 367, Serbia
Abstract:
We determine curvature properties of pseudosymmetric type of certain warped product manifolds, and in particular of generalized Robertson–Walker spacetimes, with Einsteinian or quasi-Einsteinian fibre.
Keywords:quasi-Einstein manifold  Warped product manifold  Generalized Robertson–Walker spacetime  Pseudosymmetric manifold  Ricci-pseudosymmetric manifold  Tachibana tensor
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