Open AccessA New Approach to Mannheim Curve in Euclidean 3-Space
Author(s) -
Ali Uçum,
Çetin Camcí,
Kazım ̇Ilarslan
Publication year - 2021
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.54.2023.4085
Subject(s) - mathematics , euclidean geometry , family of curves , euclidean space , space (punctuation) , engel curve , pure mathematics , mathematical analysis , geometry , computer science , econometrics , operating system , price index
In this article, a new approach is given for Mannheim curves in 3-dimensional Euclidean space. Thanks to this approach, the necessary and sufficient conditions including the known results have been obtained for a curve to be Mannheim curve in E³. In addition, related examples and graphs are given by showing that there can be Mannheim curves in Salkowski or anti-Salkowski curves as well as giving Mannheim mate curves, which are not in literature. Finally, the Mannheim partner curves are characterized in E³.