Biharmonic constant ?1-slope curves according to type-2 Bishop frame in Heisenberg group Heis3

Abstract

In this paper, we introduce constant ?1-slope curves according to type-2 Bishop frame in the Heisenberg group Heis3. We characterize the biharmonic constant ?1-slope curves in terms of their Bishop curvatures. Finally, we find out their explicit parametric equations in the Heisenberg group Heis3. Additionally, we illustrate our main theorem. © Soc. Paran. de Mat.