A Study of Distributions ￡ and ？ of Generalized Kenmotsu Manifold

The object of the present paper is to study the geometry of distributions ￡ and of the generalized Kenmotsu manifold. Using the totally umbilicity of the distributions ￡ and , it is shown that if M is totally umbilical then it is totally geodesic. Also, the integrability of the distributions ￡ and M are proved. Further geometric conditions connecting the distribution and submanifold M are obtained.