CR-hypersurfaces of complex projective space

Abstract

We consider compact n-dimensional minimal foliate CR-real submanifolds of a complex projective space. We show that these submanifolds are great circles on a 2-dimensional sphere provided that the square of the length of the second fundamental form is less than or equal to n−1.

Keywords

• Kaehler manifold
• CR-submanifold
• mixed foliate
• hypersurfaces of complex projective space.