Addendum received on 7 February 1996 from the author Updates of References: [DNV] Dillen, F., Nomizu, K., Vranken, L.: Conjugate connections and Radon's theorem in Affine Differential Geometry., Monatshefte fur Math. 109 (1990) N3, 221--231. [GI] Ganchev, G., Ivanov, S.: Connections and curvatures on complex Riemannian manifolds, Internal Report IC/91/41, I.C.T.P. Trieste 1991. [I1] Ivanov, S.: On dual-projectively flat affine connections., Journal of Geometry 53 (1995), 89-99. [I2] Ivanov, S.: On the fundamental theorem for non-degenerate complex affine hypersurface immersions., to appear. [K] Kurose T.: On the realization of Statistical manifolds in Affine space, Preprint Fukuoka Univ. 1991. [NP] Nomizu, K., Podesta, F.: On the Cartan-Norden theorem for affine Kaehler immersions., Nagoya Math. J. 121 (1991), 127--135. [NPP] Nomizu, K., Pinkall, U., Podesta, F.: On the geometry of affine Kaehler immersions., Nagoya Math. J. 120 (1990), 205--222. [O] Opozda, B.: Equivalence theorem for complex affine hypersufaces., Results in Math. 27 (1995), 316--327. [Scho] Schouten, J.A.: Ricci Calculus, 2nd ed., Springer 1954. [Si] Simon, U.: The fundamental theorem in affine hypersurface theory, Geom. Ded. 26 (1988), 125--137. [T] Tashiro, Y.: On holomorphically projective correspondence in an almost complex space, Math. J. Okayama Univ. 6 (1957) N2, 147--152. [Y] Yano, K.: Differential geometry on complex and almost complex spaces, Pergamon Press 1965. Author's address: Stefan Ivanov University of Sofia, Faculty of Math. and Inf., Department of Geometry, bul. James Bauchier 5, 1126 Sofia, BULGARIA. E-mail: ivanovsp@fmi.uni-sofia.bg