2019/10/15 by Burak Şahiner, Sahiner, Burak
Arts and Humanities · Social Sciences · #53A04 #53A05 #Differential Geometry (math.DG) #FOS: Mathematics #Historical and Literary Studies #Lexicography and Language Studies
paper · pdf · doi:10.48550/arxiv.1910.06589
openalex publication_date 2019/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we define a new type of ruled surface called ruled surface by using the alternative frame of a base curve. Then, we study its differential geometric properties such as striction line, distribution parameter, fundamental forms, Gaussian and mean curvatures. Moreover, we find geodesic curvatures, normal curvatures, and geodesic torsions of the base curve and the striction line of the new ruled surface. Finally, we give two related examples.