A New Approach to Mannheim Curve in Euclidean 3-Space release_ndvjebwdnzgljhdleqaog4j3bu

by Ali UÇUM, Çetin Camcı, Kazım İlarslan

Published in Tamkang Journal of Mathematics by Tamkang Journal of Mathematics.

2021   Volume 54

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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Date   2021-11-10
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