In this work we study k-type uniform Steiner bundles, being k the lowest
degree of the splitting. We prove sharp upper and lower bounds for the rank in
the case k=1 and moreover we give families of examples for every allowed
possible rank and explain which relation exists between the families. After
dealing with the case k in general, we conjecture that every k-type uniform
Steiner bundle is obtained through the proposed construction technique.Comment: 23 pages, to appear at Annales de l'Institut Fourie