Reduction in codimension of mixed foliate CR-submanifolds of a Kaehler manifold

Abstract

Starting with a proper mixed foliate CR-submanifold M of dimension 2p+q in a hyperbolic complex space form \bar{M}(−4) of dimension m(m{≥}2p+2q), it has been proved that under a suitable condition on second fundamental form there exists a (2p+2q)-dimensional totally geodesic submanifold M' of \bar{M} such that M is a mixed foliate CR-submanifold of M'.