On The First Fundamental Theorem for Special Dual Orthogonal Group SO(2, D) and its Application to Dual Bezier Curves

Subject Applied Mathematics
Title On The First Fundamental Theorem for Special Dual Orthogonal Group SO(2, D) and its Application to Dual Bezier Curves
Author(s) Muhsin Incesu, Osman Gürsoy
Keywords Dual Invariants, first fundamental theorem, SO(2,D)
Abstract

Let D be set of dual numbers then in D2 . Now in this work we study the first fundamental theorem for special dual orthogonal transformations group SO(n,D) in case of n=2. Then our getting results compare the special orthogonal transformations group in real four dimensional euclidean space SO(4,R). So we showed that the minimal conditions of the dual vectors are more less than minimal conditions of real vectors.