AN APPROACH FOR VECTORIAL MOMENTS IN EUCLIDEAN 3-SPACE

Abstract

In this paper, we investigate the vectorial moments of Backlund transformations of a space curve in E-3. Firstly, it is obtained the vectorial moments which named alpha(G) dual curve, beta(G) dual curve, and gamma(G) dual curve of Backlund transformations. Then we give the Euler elastic bending energies of these curves. Finally, we provide some examples of alpha(G) dual, beta(G) dual, and gamma(G) dual, and their Euler elastic bending energies.