Osculating direction curves and their applications

2015/02/16 by Mehmet Önder, Önder, Mehmet, Sezai Kızıltuğ +1
Engineering · #3D Shape Modeling and Analysis #53A04 #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Tribology and Lubrication Engineering

paper · pdf · doi:10.48550/arxiv.1503.07385

openalex publication_date 2015/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this study, we define a new type of direction curves in the Euclidean 3-space such as osculating-direction curve. We give the characterizations for these curves. Moreover, we obtain the relationships between osculating direction curves and some special curves such as helix, slant helix or rectifying curves.

Citations

• General helices and a theorem of Lancret

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