A New Approach to Mannheim Curve in Euclidean 3-Space | Zendy

Ali Uçum | Zendy; Çetin Camcí | Zendy; Kazım İlarslan | Zendy

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A New Approach to Mannheim Curve in Euclidean 3-Space

Author(s) -

Ali Uçum,

Çetin Camcí,

Kazım İlarslan

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.

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