On Bishop Frames of Any Regular Curve in Euclidean 3-Space

Authors : Sümeyye Gür Mazlum

Pages : 23-33

Doi:10.35414/akufemubid.1343172

View : 189 | Download : 201

Publication Date : 2024-02-27

Article Type : Research Paper

Abstract :Relationships between type-1 Bishop and Frenet, type-2 Bishop and Frenet, alternative and Frenet, N-Bishop and alternative frames of any regular curve in Euclidean 3-space are known. In this study, relationships between N-Bishop and Frenet frames and relationships between type-1 Bishop, type-2 Bishop and N-Bishop frames of any regular curve in Euclidean 3-space are given. In addition, pole vectors (unit vectors in the direction of Darboux vectors) belonging to these frames are computed. Last, pole and Darboux vectors belonging to these frames are compared with each other.
Keywords : tip 1 Bishop çatısı, tip 2 Bishop çatısı, alternatif çatı, N Bishop çatısı, frenet çatısı, Darboux vektörü