A New Approach to Mannheim Curve in Euclidean 3-Space
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by
Ali UÇUM,
Çetin Camcı,
Kazım İlarslan
Abstract
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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published
Date 2021-11-10
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ISSN-L:
2073-9826
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