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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 5

Mappings that transform helices from Euclidean space to Minkowski space

Hasan Altınbaş(KIRSEHIR AHI EVRAN UNIVERSITY)0000-0003-4209-743X
Mahmut Mak(KIRSEHIR AHI EVRAN UNIVERSITY)0000-0003-3558-9161
Bülent Altunkaya(KIRSEHIR AHI EVRAN UNIVERSITY)0000-0002-3186-5643
Levent Kula(KIRSEHIR AHI EVRAN UNIVERSITY)0000-0002-8208-9728
Pages
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Publication Date
2022-10-01
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AI Summary & Key Takeaways

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

Especially, by using these mappings, we give some examples of non-null helices which are constructed in Minkowski 3-space or Minkowski 4-space from some helices in Euclidean 3-space.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, we introduce mappings that transform helices in Euclidean $ n $-space to non-null helices in Minkowski $ n $-space or Minkowski $ (n+1) $-space.
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Key Findings & Data:Furthermore, we show that these mappings preserve the axes of the helices, and we also obtain the invariants of the mappings.
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Conclusion & Impact:Especially, by using these mappings, we give some examples of non-null helices which are constructed in Minkowski 3-space or Minkowski 4-space from some helices in Euclidean 3-space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:helix · mapping · invariants

Abstract

In this study, we introduce mappings that transform helices in Euclidean $ n $-space to non-null helices in Minkowski $ n $-space or Minkowski $ (n+1) $-space. Furthermore, we show that these mappings preserve the axes of the helices, and we also obtain the invariants of the mappings. Especially, by using these mappings, we give some examples of non-null helices which are constructed in Minkowski 3-space or Minkowski 4-space from some helices in Euclidean 3-space.

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Cite This Article

Altınbaş, H., Mak, M., Altunkaya, B., Kula, L. (2022). Mappings that transform helices from Euclidean space to Minkowski space. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 5. https://doi.org/10.15672/hujms.915138

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