Bishop equations of Smarandache TM₁ curves of biharmonic B-slant helices in Heis³

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.

Keywords

• Biharmonic curve
• Bishop frame
• Heisenberg group