Mathematics

ON HYPERSURFACES IN SPACE FORMS SATISFYING PARTICULAR CURVATURE CONDITIONS OF TACHIBANA TYPE

R. Deszcz, M. Głogowska, M. Plaue

2011Kragujevac Journal of Mathematics

Abstract

We investigate hypersurfaces in space forms satisfying particular curvature conditions which are strongly related to pseudosymmetry. Expressing certain products of curvature tensors as linear combinations of Tachibana tensors we deduce several pseudosymmetry-type results.

Citation format

DESZCZ, R.; GŁOGOWSKA, M.; PLAUE, M. ON HYPERSURFACES IN SPACE FORMS SATISFYING PARTICULAR CURVATURE CONDITIONS OF TACHIBANA TYPE. Kragujevac Journal of Mathematics, 2011, 35: 223–247.