Abstract
In this paper, we study Bishop equations for Smarandache TM₁ curves of biharmonic B-slant helices according to Bishop frame in the Heisenberg group Heis³. Finally, we characterize the Smarandache TM₁ curves of biharmonic B-slant helices in terms of Bishop frame in the Heisenberg group Heis³.
Highlights
Talat Körpınar and Essin Turhan abstract: In this paper, we study Bishop equations for Smarandache TM1 curves of biharmonic B-slant helices according to Bishop frame in the Heisenberg group Heis[3]
[cos S − sin S], 2k12 + k22 where D is constant of integration and
+k1 sin S sin [Cs + D] − k2 cos [Cs + D]]e2 −k2W[k1 sin S + k2 cos S]e3], where k1, k2 are Bishop curvatures of γand D is constant of integration and k12 + k22 − cos[2] S − sin S and W =
Summary
Talat Körpınar and Essin Turhan abstract: In this paper, we study Bishop equations for Smarandache TM1 curves of biharmonic B-slant helices according to Bishop frame in the Heisenberg group Heis[3]. We characterize the Smarandache TM1 curves of biharmonic B-slant helices in terms of Bishop frame in the Heisenberg group Heis[3]. 2. Biharmonic B-Slant Helices with Bishop Frame In The Heisenberg Group Heis[3]
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