%0 Journal Article %T A Study of Distributions ¡ê and £¿ of Generalized Kenmotsu Manifold %A C. S. Bagewadi %A S. Venkatesha %J Asian Research Journal of Mathematics (ISSN: 2456-477X) %D 2018 %R 10.9734/ARJOM/2018/39489 %X The object of the present paper is to study the geometry of distributions ¡ê and of the generalized Kenmotsu manifold. Using the totally umbilicity of the distributions ¡ê and , it is shown that if M is totally umbilical then it is totally geodesic. Also, the integrability of the distributions ¡ê and M are proved. Further geometric conditions connecting the distribution and submanifold M are obtained. %U http://www.sciencedomain.org/abstract/23370