On contact submanifolds in complex projective spaces

We treat n-dimensional real submanifolds of complex projective spaces in th e case when the maximal holomorphic tangent subspace is (n - 1)-dimensional . In particular, we study the case when the induced almost contact structur e on a submanifold is contact, we establish a few characteristics of the sh ape operator with respect to the distinguished vector field and we give one characterization of a contact submanifold in this case.