Chord Properties of Some Special Curves in Euclidean Space

Abstract

In this paper, we define some special curves through the chord that combines two different points of the curve on it, and we examine relations of these curves each other. Especially, these curves have been characterized by their unit tangent vector field itself with symmetric and skew symmetric matrix. Moreover, we show that these curves are the geodesics of the isoparametric surfaces such as spheres, right circular cylinders and spherical cylinders.                                                                                                                                                                                                                     

Keywords

• Curve with constant curvature
• isoparametric surface
• .

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