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 : 42 | Download : 58

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