Abstract
In this paper, we introduce constant Π₁- slope curves according to type-2 Bishop frame in the Heisenberg group Heis³. We characterize the biharmonic constant Π₁- 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.
Highlights
Assume that {T, N, B} be the Frenet frame field along γ
Biharmonic Constant Π1−Slope Curves according to New Type-2 Bishop Frame in Heisenberg Group Heis[3]
Where g (B, B) = 1, g (Π1, Π1) = 1, g (Π2, Π2) = 1, g (B, Π1) = g (B, Π2) = g (Π1, Π2) = 0. We shall call this frame as Type-2 Bishop Frame
Summary
Assume that {T, N, B} be the Frenet frame field along γ. 2. The Heisenberg Group Heis[3] The Lie algebra of Heis[3] has an orthonormal basis e1 3. Biharmonic Constant Π1−Slope Curves according to New Type-2 Bishop Frame in Heisenberg Group Heis[3]
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