ON HYPERSURFACES OF SEMI-SYMMETRIC CLASSES IN A REAL SPACE FORM

The purpose of the present paper is to classify hypersurfaces of semi-symmetric classes in a real space form ˜M^ n+1(c). We show that a complete hypersurface M^n in ˜M^n+1(c) which satisfies R(X, Y ) · R = a(X^Y ) · R is a space of constant curvature, where a is a positive constant.