On almost constant-type manifolds

We introduce the class of almost constant-type manifolds and prove some theorems concerning Ricci tensors, scalar curvatures, bisectional curvatures and curvature identities. The above class is also studied in relation to other known classes of almost hermitian manifolds.To Adriano Barlotti with friendship and esteemThis work has been partially supported by a contribution of Ministero Ricerca Scientifica e Tecnologica.