Restricted Curvature in the Minkowski Plane

Abstract

A geometric proof for the following problem is given: Let E be the unit circle in a Minkowski plane. Let C be any continuously differentiable closed curve with length l(C)(measured in Minkowski metric). Assume [see pdf for notation] denote Euclidean curvatures. Then C can be contained in a similar copy of the unit disk translated and magnified by a factor of [see pdf for notation].