On some class of hypersurfaces of semi-Euclidean spaces
Date
2001-04
Authors
Deszcz, Ryszard
Journal Title
Journal ISSN
Volume Title
Publisher
Kossuth Lajos Tudomanyegyetem
Abstract
In the paper we prove that under some additional curvature condition the relations R.R = 0 and R.S = 0 are equivalent for hypersurfaces of semi-Euclidean spaces. We present also examples of hypersurfaces having the curvature tenser expressed by the square, in the sense of the Kulkarni-Nomizu product, of the Ricci tenser.
Description
Keywords
Mathematics, Hypersurface, Structure theorems, Pseudosymmetry type manifold, Ricci-semisymmetric manifold, Semisymmetric manifold
Citation
Murathan, C. vd. (2001). "On some class of hypersurfaces of semi-Euclidean spaces". Publicationes Mathematicae-Debrecen, 58(4), 587-604.