EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 79(93), pp. 95–107 (2006)

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ON CURVATURE CHARACTERIZATIONS OF SOME HYPERSURFACES IN SPACES OF CONSTANT CURVATURE

Katarzyna Sawicz

Institute of Econometrics and Computer Science, Technical University of Czestochowa, 42-200 Czestochowa, Poland

Abstract: We investigate curvature properties of pseudosymmetry type of hypersurfaces in semi-Riemannian spaces of constant curvature having the minimal polynomial for the second fundamental tensor of third degree. Among other things we show that the curvature tensor of such hypersurfaces satisfies some condition, which is a generalization of the Roter type equation.

Keywords: warped product; hypersurface; pseudosymmetry type condition; the Roter type equation

Classification (MSC2000): 53B20; 53B25; 53C25

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Electronic fulltext finalized on: 10 Oct 2006. This page was last modified: 27 Oct 2006.

© 2006 Mathematical Institute of the Serbian Academy of Science and Arts
© 2006 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition