Mannheim B-Curves in the Euclidean 3-Space E^3

Melek Masal, Ayse Z. Azak


In this study we have defined Mannheim curves according to a Bishop frame and called Mannheim B-curves in the Euclidean 3-space E^3. Then the relations have been found between the Bishop and Frenet vectors of these curves and some conditions have been obtained which are Mannheim B-curves. Also the relation k_2^*=k_1/1+lambdak_1 has been obtained between the Bishop curvaturesĀ  of the Mannheim B-curves.


Bishop frame, Euclidean space, Frenet frame,Mannheim B-pair, Mannheim B-curves

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