Certain Contact Submanifolds of Complex Space Forms

We study the differential geometric properties of n-dimensional real submanifolds M of complex space forms M , whose maximal holomorphic tangent subspace is (n− 1)-dimensional. On these manifolds there exists an almost contact structure F which is naturally induced from the ambient space. Using certain condition on the induced almost contact structure F and on the second fundamental form h of these submanifolds, which is sufficient for F to be the contact one, we give a classification of such submanifolds M and we obtain new characterizations of some model spaces in complex space forms.