Tangent spaces of Minkowski spaces (Q1407487)

The author' work on the class of centrally convex compact bodies whose centre is the origin in the \(n\)-dimensional real space. The main result concerns the tangent spaces of Minkowski spaces: Let \(U_i\), and \(U\) be the indicatrices of \(M^n(U_i)\) and \(M^n(U)\). If the series \(U_i\) converges to \(U\) in the Hausdorff sense for any point \(x\) out of the intersection of all \(U_i\) and \(U\), then the tangent spaces \(T_xM^n(U_i)\) converge to \(T_xM^n(U)\) in terms of Hausdorff.