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A New Approach to Mannheim Curve in Euclidean 3-Space
2021
Tamkang Journal of Mathematics
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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.
doi:10.5556/j.tkjm.54.2023.4085
fatcat:ndvjebwdnzgljhdleqaog4j3bu