On some class of hypersurfaces with three distinct principal curvatures

Volume 69 / 2005

Katarzyna Sawicz Banach Center Publications 69 (2005), 145-156 MSC: Primary 53B20, 53B25; Secondary 53C25. DOI: 10.4064/bc69-0-9


We investigate hypersurfaces $M$ in spaces of constant curvature with some special minimal polynomial of the second fundamental tensor $H$ of third degree. We present a curvature characterization of pseudosymmetry type for such hypersurfaces. We also prove that if such a hypersurface is a manifold with pseudosymmetric Weyl tensor then it must be pseudosymmetric.


  • Katarzyna SawiczInstitute of Econometrics and Computer Science
    Technical University of Cz/estochowa
    Armii Krajowej 19B, 42-200 Cz/estochowa, Poland

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