Special Ruled Surface in de-Sitter 3-Space

Authors : Tuğba Mert, Mehmet Atçeken

Pages : 195-209

Doi:10.33401/fujma.933725

View : 21 | Download : 8

Publication Date : 2021-09-30

Article Type : Research

Abstract :In this paper, timelike base curve and spacelike main geodesic with the timelike ruled surface are studied, which is a special class of ruled surface in de-Sitter space $S_{1}^{3}.$ A ruled surface in the de-Sitter space $S_{1}^{3}$ is obtained by moving a geodesic along a curve. So we will call these surfaces in the de-Sitter space as the geodesic ruled surface. Developable ruled surface, striction point, striction curve, dispersion parameter, and orthogonal trajectory concepts are investigated for the obtained geodesic ruled surface.
Keywords : Straight Geodesic, Base curve, Central Point, Central Curve