On some class of hypersurfaces with three distinct principal curvatures
Volume 69 / 2005
Banach Center Publications 69 (2005), 145-156
MSC: Primary 53B20, 53B25; Secondary 53C25.
DOI: 10.4064/bc69-0-9
Abstract
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.
