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

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.

Keywords

• Biharmonic curve
• Bishop frame
• Heisenberg group
• Pedal curve