On the involute and evolute curves of the spacelike curve with a spacelike binormal in Minkowski 3-space

Abstract

In this study, we have generalized the involute and evolute curves of the spacelike curve α with a spacelike binormal in Minkowski 3- Space. Firstly, we have shown that, the length between the spacelike curve α and the timelike curve β is constant. Furthermore, the Frenet frame of the involute curve β has been found as depend on curvatures of the curve α .W e have determined the curve α is planar in which conditions. Secondly, we have found transformation matrix between the evolute curve β and the curve α. Finally, we have computed the curvatures of the evolute curve β. Mathematics Subject Classification: 53A04, 53B30, 53A35