On Codazzi Couplings on the Metric (E4 = I)−Manifolds

Let Mk be a metric E4=I−manifold equipped with electromagnetic-type structure E, a pseudo-Riemannian metric g and a nondegenerate 2−form ω^. The paper deals with Codazzi couplings of an affine connection ∇ with E, g and ω^. We present some results concerning the relationship of these Codazzi couplings. In addition, we construct the connection between Codazzi couplings and e−(E4=I) Kaehler manifolds