We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Mannheim B-Curves in the Euclidean 3-Space E<sup>3</sup>.
- Authors
Masal, Melek; Azak, Ayşe Z.
- Abstract
In 1878, Mannheim defined the notion of a Mannheim pair of curves and in 2008 Liu and Wang gave the necessary and sufficient condition for the Mannheim curves using the Frenet frame as a key ingredient. In this article we consider Bishop frame and introduce Mannheim B-pair in the Euclidean 3-space E3. Then a thorough examination of the relationships between curvatures of a Mannheim B-pair is given. As the results of this examination, the relations between the Bishop vectors and Frenet vectors of these curves are found. Besides the relation between the Bishop curvatures of the Mannheim B-curves is obtained as k2*=k1/1+λk1.
- Subjects
VECTORS (Calculus); EUCLIDEAN geometry; CURVATURE; CURVES; PAIRS trading
- Publication
Kuwait Journal of Science, 2017, Vol 44, Issue 1, p36
- ISSN
2307-4108
- Publication type
Article