On some class of hypersurfaces with three distinct principal curvatures

Katarzyna Sawicz. "On some class of hypersurfaces with three distinct principal curvatures." Banach Center Publications 69.1 (2005): 145-156. <http://eudml.org/doc/281761>.

@article{KatarzynaSawicz2005,
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.},
author = {Katarzyna Sawicz},
journal = {Banach Center Publications},
keywords = {pseudo-symmetric manifold; manifold with pseudo-symmetric Weyl tensor; hypersurface; 2-quasi-umbilical hypersurface},
language = {eng},
number = {1},
pages = {145-156},
title = {On some class of hypersurfaces with three distinct principal curvatures},
url = {http://eudml.org/doc/281761},
volume = {69},
year = {2005},
}

TY - JOUR
AU - Katarzyna Sawicz
TI - On some class of hypersurfaces with three distinct principal curvatures
JO - Banach Center Publications
PY - 2005
VL - 69
IS - 1
SP - 145
EP - 156
AB - 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.
LA - eng
KW - pseudo-symmetric manifold; manifold with pseudo-symmetric Weyl tensor; hypersurface; 2-quasi-umbilical hypersurface
UR - http://eudml.org/doc/281761
ER -