Relation between Darboux and type-2 Bishop frames in Euclidean space

Makaleler > Tam Makale · 2016

Yazarlar: Amine Yilmaz, Emin Özyilmaz

International Journal of Geometric Methods in Modern Physics, Uluslararası, Wos, 2016, cilt 13, ss 1650101-1650101

DOI: 10.1142/s0219887816501012

Özet

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.

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