Abstract
In this paper, we study S tangent surfaces according to Sabban frame in the Lorentzian Heisenberg group H. We obtained differential equations in terms of their geodesic curvatures in the Lorentzian Heisenberg group H. Finally, we found explicit parametric equations of one parameter family of S tangent surfaces according to Sabban Frame.
Highlights
Construction of fluid flows constitutes an active research field with a high industrial impact
This study is organised as follows: Firstly, we study S tangent surfaces according to Sabban frame in the Lorentzian Heisenberg group H
To separate a biharmonic curve according to Sabban frame from that of Frenet- Serret frame, in the rest of the paper, we shall use notation for the curve defined above as biharmonic S -curve
Summary
Construction of fluid flows constitutes an active research field with a high industrial impact. This study is organised as follows: Firstly, we study S tangent surfaces according to Sabban frame in the Lorentzian Heisenberg group H . The following set of left-invariant vector fields forms an orthonormal basis for the corresponding Lie algebra: Let : I H be a timelike curve in the Lorentzian Heisenberg group H parametrized by arc length.
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