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Dergiler / 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
Sayfa
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Yayın Tarihi
2022-10-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (15)

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