Some characterization of curves of constant breadth in $E^n$ space

Abstract

In this paper, the concepts concerning the space of constant breadth were extended to $E^n$ -space. An approximate solution of the equation system which belongs to this curve was obtained. Using this solution vectorial expression of the curves of constant breadth was obtained. The relation $int_0^{2pi} widetilde{f}(s) ds = 0$ between the curvatures of curves of constant breadth in $E^n$ was obtained.