<b>One parameter family of S-tangent surfaces

Abstract

In this paper, we study S-tangent surfaces according to Sabban frame in the Lorentzian Heisenberg group Heis³. We obtain differential equations about in terms of their geodesic curvatures in the Lorentzian Heisenberg group Heis³. Finally, we find explicit parametric equations of one parameter family of S-tangent surfaces according to Sabban Frame.

Keywords

• biharmonic curve
• Heisenberg group
• geodesic curvature
• fluid flows