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.

Keywords

• Contact metric manifold,conformally ‡at manifold,(k;)-manifold,(k;)-space forms,second fundamental form,totally geodesic

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