Some Characterization of Curves of Constant Breadth in En Space

In this paper, the concepts concerning the space of constant breadth were extended to En-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 \int02p\widetilde{f}(s)ds=0 between the curvatures of curves of constant breadth in En was obtained. Key Words and Phrases: Curvature, Constant Breadth, Integral Characterization of Curve

Some Characterization of Curves of Constant Breadth in En Space

In this paper, the concepts concerning the space of constant breadth were extended to En-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 \int02p\widetilde{f}(s)ds=0 between the curvatures of curves of constant breadth in En was obtained. Key Words and Phrases: Curvature, Constant Breadth, Integral Characterization of Curve