Conformally Flat Minimal C-Totally Real Submanifolds of (k,μ)-Nullity Space Forms

Abstract

Using the expression for the Laplacian of the square of the lenght of the second fundamental form of conformally ‡at minimal C-totally real submanifolds of a(k;)-nullity space form pinchings for scalar curvature and sectional curvature are obtained which imply that the submanifolds must be totally geodesic.