Extending Natural Mates in Euclidean 3-space and Applications to Bertrand Pairs

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International Electronic Journal of Geometry
Volume:17 Issue:1
Extending Natural Mates in Euclidean 3-space and Applications to Bertrand Pairs

Extending Natural Mates in Euclidean 3-space and Applications to Bertrand Pairs

Authors : Alexander Navarro, Yun Myung Oh

Pages : 252-258

Doi:10.36890/iejg.1438073

View : 131 | Download : 59

Publication Date : 2024-04-23

Article Type : Research Paper

Abstract :In Euclidean 3-space, a family of curves, the co-successor, is motivated and then introduced in relation to the natural mate. A complete characterization of co-successors is proved, followed by an application of the co-successor towards describing Bertrand curves and their mates.
Keywords : Natual mates, co successor curves, Bertrand curves, conjugate mates

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