Defect relations for holomorphic maps between spaces of different dimensions (Q1091521)

It is derived a defect relation for holomorphic mappings between spaces of different dimensions, with a compact complex algebraic manifold as a target space, connected with certain divisors (or families of divisors), according to that the second fundamental form with respect to a meromorphic (or smooth) connection for the tangent bundle of the target manifold is zero. A new way of interpreting the classical results of H. Weyl, J. Weyl and L. Ahlfors for the mappings with complex projective space for the target space in terms of curvatures of certain line bundles, connections, second fundamental form and autoparallelism is demonstrated as well.