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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc69-0-9,
author = {Katarzyna Sawicz},
title = {On some class of hypersurfaces with three distinct principal curvatures},
journal = {Banach Center Publications},
volume = {68},
year = {2005},
pages = {145-156},
zbl = {1091.53010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc69-0-9}
}
Katarzyna Sawicz. On some class of hypersurfaces with three distinct principal curvatures. Banach Center Publications, Tome 68 (2005) pp. 145-156. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc69-0-9/