On characteristic curves of developable surfaces in Euclidean 3-space

2015/08/22 by Fatih Doğan, Dogan, Fatih
Engineering · Mathematics · #3D Shape Modeling and Analysis #53A04 #53A05 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1508.05439

openalex publication_date 2015/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the relationship among characteristic curves on developable surfaces. In case parameter curves coincide with these curves, we show that the base curve of a developable surface could be either a plane curve, a circular helix, a general helix or a slant helix.

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