Beitr\"age zur Algebra und Geometrie Contributions to Algebra and Geometry Volume 37 (1996), No. 1, 87-101. On some Special Fano Manifolds Antonio Lanteri and Cristiana S. Sacchi Abstract. Some properties of Fano manifolds of product type involving the coindex and the number of factors are discussed and a contribution to the study of special Fano $\bold P$-bundles of low corank is given; in particular standard special Fano $\bold P$-bundles of corank 3 are classified. A question related to a vector bundle adjunction conjecture is also discussed. MSC 1991: 14J45, 14J40