Minimal CR submanifolds immersed in a complex projective space (Q1824877)

Let \({\mathbb{C}}P^ m\) denote the m-dimensional complex projective space of constant holomorphic sectional curvature 4 with Kaehler structure (J,g). On a submanifold M of \({\mathbb{C}}P^ m\) one can define a tensor field P characterized by the property that Pv is the tangent part of Jv for all tangent vectors v to M. The main result of this article is the classification of all compact orientable n-dimensional minimal CR- submanifolds of \({\mathbb{C}}P^ m\) for which the Ricci tensor S satisfies \(S(X,X)\geq (n-1)g(X,X)+2g(PX,PX).\)