k-Kinematik Yüzeyler İçin Konjuge Tanjant Vektörler, Asimptotik Doğrultular, Euler Teoremi ve Dupin Göstergesi

Abstract

In this study, we define the k-kinematic surface g M which is obtained from a surface M on Euclidean 3space 3 E by applying rigid motion described by quaternions to points of M. Then we investigate and calculate for this surface some important concepts such as shape operator, asymptotic vectors, conjugate tangent vectors, Euler theorem and Dupin indicatrix which help to understand a surface differential geometrically well.