Certain CR submanifolds of maximal CR dimension of complex space forms

Abstract

We study m-dimensional real submanifolds with (m - 1)-dimensional maximal holomorphic tangent subspace in complex space forms. On such a manifold there exists an almost contact structure which is naturally induced from the ambient space and in this paper we study the anti-commutative condition of the almost contact structure and the second fundamental form of these submanifolds and we characterize certain model spaces in complex space forms. © 2007 Elsevier B.V. All rights reserved.