Pedal curves of tangent surfaces of biharmonic b-general helices according to bishop frame in Heisenberg group Heis³

Talat KÃ¶rpinar; Essin Turhan

doi:10.5269/bspm.v32i1.19180

Pedal curves of tangent surfaces of biharmonic b-general helices according to bishop frame in Heisenberg group Heis³

Authors

Talat KÃ¶rpinar FÄ±rat University Department of Mathematics
Essin Turhan FÄ±rat University Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v32i1.19180

Keywords:

Biharmonic curve, Bishop frame, Heisenberg group, Pedal curve

Abstract

In this paper, we study pedal curves of tangent surfaces of biharmonic B-general helices according to Bishop frame in the Heisenberg group Heis³. We give necessary and sufficient conditions for B-general helices to be biharmonic according to Bishop frame. We characterize this pedal curves in the Heisenberg group Heis³. Additionally, we illustrate our main theorem.