MINIMAL SHELLS CONTAINING A CONVEX SURFACE IN MINKOWSKI SPACE

Let K be the unit ball of a Minkowski space (finite dimensional Banach space). A It-shell is the closed set of all points between two concen tric balls of the space. We consider different assignments of size to a It-shell and investigate the K-shells with minimum size which contai n a given convex surface. Our results extend to Minkowski geometry cla ssical results on minimal shells in Euclidean space.