SPACELIKE RULED SURFACES IN DE-SITTER 3-SPACE | Asian Journal of Mathematics and Computer Research

The purpose of this study is to investigate spacelike governed surfaces in de-Sitter space S13. Moving a geodesic along a curve yields a ruled surface in the de-Sitter space S13. For the obtained ruled surface, the concepts of developable ruled surface, striction point, striction curve, dispersion parameter, and orthogonal trajectory are examined. The dispersion parameter for the developable ruled surfaces provides an equivalent condition.

The study was conducted in a cross-sectional manner.

Study Location and Duration: The data for this study was gathered via studies in various spaces linked to this subject. Cumhuriyet University and Aksaray University finished the research. Between January and September 2020.

Methodology: The correspondence of ruled surfaces in de-Sitter space is given based on investigations of ruled surfaces in various spaces in the literature.

For the obtained ruled surface, the concepts of developable ruled surface, striction point, striction curve, dispersion parameter, and orthogonal trajectory are examined. The dispersion parameter for the developable ruled surfaces provides an equivalent condition.

Conclusion: The geometry of surfaces in Minkowski space has been studied extensively for many years. This research was conducted in order to aid in the creation of more extensive studies on ruled surfaces. For a better grasp of the subject, the first two sections provide a survey of the literature, basic definitions, and theorems. Spacelike ruled surfaces are defined and investigated in detail in the following sections. As a result, this research has been published in the literature as a resource for any scientist interested in studying surfaces in the de-Sitter 3-space..

Please see the link :- https://www.ikprress.org/index.php/AJOMCOR/article/view/5974