Curvature properties of Cartan hypersurfaces
Curvature properties of Cartan hypersurfaces
1. Introduction.Every Einsteinian as well as every conformally flat hypersurface M in M n+1 (c), n ≥ 4, is a pseudosymmetric manifold ([23], Proposition 3.2).Thus every quasi-umbilical hypersurface M in M n+1 (c), n ≥ 4, is pseudosymmetric.An n-dimensional hypersurface M , dim M ≥ 3, is called quasi-umbilical if …