Abstract:
In this research we consider the recent
exploring problem of existence (or non
existence) of warped product submanifold in
known spaces, for this reason first we have
discussed a necessary and sufficient
condition in terms of two canonical structures on a Cauchy Riemannian CR-submanifold of a nearly käehler manifold under which the submanifold reduces to a locally CR-warped product manifold, More over an estimate for the second fundamental form is investigated.
Also we have illustrated the proof of aninequality for squared norm of second
fundamental form
