2012/02/01 by Yusuf Yaylı, Yusuf Yayli, Yayli, Yusuf +3
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #53A04 #53A05 #53B30 #Computational Geometry and Mesh Generation #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.DG #msc:53A04 #msc:53A05 #msc:53B30
paper · pdf · doi:10.48550/arxiv.1202.0138
12 pages
arxiv created 2012/02/01 · openalex publication_date 2012/02/01 · arxiv updated 2012/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this study, we have obtained the distribution parameter of a ruled surface generated by a straight line in Frenet trihedron moving along a timelike curve and also along another curve with the same parameter. At this time, the Frenet frames of these timelike curves are not the same. We have moved the director vector of the first curve along the second curve. It is shown that the ruled surface is developable if and only if the base timelike curve is helix. In addition, some smilarities and differences are presented with theorems and results.