Relation between Darboux and type-2 Bishop frames in Euclidean space
Articles > Article · 2016
Authors: Amine Yilmaz, Emin Özyilmaz
International Journal of Geometric Methods in Modern Physics, International, WoS, 2016, vol 13, pp 1650101-1650101
DOI: 10.1142/s0219887816501012
Summary
In this work, we investigate relationships between Darboux and type-2 Bishop frames in Euclidean space. Then, we obtain the geodesic curvature of the spherical image curve of the Darboux vector of the type-2 Bishop frame. Also, we give transition matrix between the Darboux and type-2 Bishop frames of the type-2 Bishop frames of the spherical images of the edges [Formula: see text] and [Formula: see text]. Finally, we express some interesting relations and illustrate of the examples by the aid Maple programe.