3-Contact CR – sub-manifolds of a manifold with LP – Sasakian 3–structure

Abstract

This paper has been divided into three sections starting with an introductory section. In second section we have established the necessary and sufficient conditions for a submanifold to be a 3contact CR-submanifold. In the third section along with the integrability of distributions D and D1, we have also discussed the cases when the submanifold is mixed totally geodesic or the leafes of the distributions are totally geodesic. Finally we have established some theorems by taking the canonical structures, defined for the 3-contact LP-submanifold to be parallel.