Some Results on Purely Real Surfaces and Slant Surfaces in Complex Space Forms

A surface M in a Kaehler surface N is called purely real if it contains no complex points. A slant immersion which was introduced by B.Y. Chen in [1] is an isometric immersion of a Riemannian manifold into an almost Hermitian manifold with constant Wirtinger angle. In this article, we study slant surfaces and purely real surfaces and also give a general optimal inequality for purely real surfaces in complex space forms proved by Chen.