Weyl, projective and conformal semi-symmetric complex hypersurfaces in semi-Kaehler space forms

The purpose of this paper is to introduce the notions of Weyl semi-symmetric, projective semi-symmetric and conformal semi-symmetric curvature tensor defined on semi-Kaehler manifolds. Moreover, by using a new version of E. Cartan's complex exterior derivative method we give a complete classification of complex hypersurfaces M in semi-Kaehler space forms M-s+t(n+1) (c) with Weyl semi-symmetric, projective semi-symmetric or conformal semi-symmetric curvature tensor, respectively.