2018/11/27 by Alev Kelleci, Kelleci, Alev
Mathematics · #53C50 #FOS: Mathematics #General Mathematics (math.GM) #Geometric Analysis and Curvature Flows #Morphological variations and asymmetry #Point processes and geometric inequalities #Primary 53B25 #Secondary 53A35 #math.GM #msc:53A35 #msc:53B25 #msc:53C50
paper · pdf · doi:10.48550/arxiv.1812.10396
12 pages
arxiv created 2018/11/27 · openalex publication_date 2018/11/27 · arxiv updated 2018/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we give the definition of the natural mate of a non-null Frenet curve in Minkowski 3-spaces. The main purpose of this paper is to prove some relationships between a non-null Frenet curve and its natural mate. In particular, we obtain some necessary and suffcient conditions for the natural mate of a non-null Frenet curve to be a slant helix, a spherical curve, or a curve of constant curvature. Several applications of our main results are also presented.