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Osculating mate of a Frenet curve in the Euclidean 3-space.

Authors :
ALKAN, AKIN
ÖNDER, MEHMET
Source :
Acta et Commentationes Universitatis Tartuensis de Mathematica. Dec2023, Vol. 27 Issue 2, p157-169. 13p.
Publication Year :
2023

Abstract

A new kind of partner curves called osculating mate of a Frenet curve is introduced. Some characterizations for osculating mate are obtained and using the obtained results some special curves such as slant helix, spherical helix, C-slant helix and rectifying curve are constructed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14062283
Volume :
27
Issue :
2
Database :
Academic Search Index
Journal :
Acta et Commentationes Universitatis Tartuensis de Mathematica
Publication Type :
Academic Journal
Accession number :
174900548
Full Text :
https://doi.org/10.12697/ACUTM.2023.27.13