Special Ruled Surface in de-Sitter 3-Space

Year 2021, Volume: 4 Issue: 3, 195 - 209, 30.09.2021

Tuğba Mert , Mehmet Atçeken

https://doi.org/10.33401/fujma.933725

Cited By: 2

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

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