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Journals / International Electronic Journal of Geometry / 2026 / Volume: 17 Issue: 1

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

Yun Myung Oh(Andrews University)0000-0002-6526-8863
Alexander Navarro(Andrews University)0000-0003-3545-1891
Pages
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Publication Date
2024-04-23
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

A complete characterization of co-successors is proved, followed by an application of the co-successor towards describing Bertrand curves and their mates.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In Euclidean 3-space, a family of curves, the co-successor, is motivated and then introduced in relation to the natural mate.
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Key Findings & Data:In Euclidean 3-space, a family of curves, the co-successor, is motivated and then introduced in relation to the natural mate.
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Conclusion & Impact:A complete characterization of co-successors is proved, followed by an application of the co-successor towards describing Bertrand curves and their mates.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Natual mates · co-successor curves · Bertrand curves

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.

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Cite This Article

Oh, Y. M., Navarro, A. (2024). Extending Natural Mates in Euclidean 3-space and Applications to Bertrand Pairs. International Electronic Journal of Geometry, Volume: 17 Issue: 1. https://doi.org/10.36890/iejg.1438073

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References (8)

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