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

Year 2024, , 252 - 258, 23.04.2024

Alexander Navarro , Yun Myung Oh

https://doi.org/10.36890/iejg.1438073

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

Ethical Statement

This is joint work with Alex and has not been submitted anywhere else.

Supporting Institution

Andrews University

Project Number

2-15-2014

Thanks

Thank you for this exceptional opportunity!

References

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