Abstract
In this paper, we study D-tangent surfaces of timelike biharmonic D-helices according to Darboux frame on non-degenerate timelike surfaces in the Lorentzian Heisenberg group H. We obtain parametric equation D-tangent surfaces of timelike biharmonic D-helices in the Lorentzian Heisenberg group H. Moreover, we illustrate the figure of our main theorem.
Highlights
In this paper, we study D−tangent surfaces of timelike biharmonic D-helices according to Darboux frame on non-degenerate timelike surfaces in the Lorentzian Heisenberg group H
Heisenberg group plays an important role in many branches of mathematics such as representation theory, harmonic analysis, PDEs or even quantum mechanics, where it was initially defined as a group of 3 × 3 matrices
Timelike Biharmonic D-Helices According to Darboux Frame on a Non-Degenerate Timelike Surface in the Lorentzian Heisenberg Group H
Summary
We study D−tangent surfaces of timelike biharmonic D-helices according to Darboux frame on non-degenerate timelike surfaces in the Lorentzian Heisenberg group H. The following set of left-invariant vector fields forms an orthonormal basis for the corresponding Lie algebra: e1 3. Timelike Biharmonic D-Helices According to Darboux Frame on a Non-Degenerate Timelike Surface in the Lorentzian Heisenberg Group H
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