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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Volume: 69 Issue: 2

Special helices on equiform differential geometry of spacelike curves in Minkowski space-time

Fatma Bulut(BITLIS EREN UNIVERSITY)0000-0002-7684-6796
Mehmet Bektaş(FIRAT ÜNİVERSİTESİ)0000-0002-5797-4944
Pages
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Publication Date
2020-12-31
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Also we obtain $(k,m)$-type slant helices for equiform differential geometry of spacelike curves in Minkowski space-time.

📌 3 Key Takeaways

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Objective & Hypothesis:In our study, we establish k-type helices and (k,m)-type slant helices for equiform differential geometry of spacelike curves in 4-dimensional Minkowski space E₁⁴ and give some new characterizations for these helices.
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Key Findings & Data:In this paper, we obtain characterizations equiform differential geometry of spacelike curves in 4-dimensional Minkowski space E$_{1}^{4}$.
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Conclusion & Impact:Also we obtain $(k,m)$-type slant helices for equiform differential geometry of spacelike curves in Minkowski space-time.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Equiform Frenet Frame · k-type helices · (k m)-type slant helices

Abstract

In our study, we establish k-type helices and (k,m)-type slant helices for equiform differential geometry of spacelike curves in 4-dimensional Minkowski space E₁⁴ and give some new characterizations for these helices. In this paper, we obtain characterizations equiform differential geometry of spacelike curves in 4-dimensional Minkowski space E$_{1}^{4}$. We establish $k$-type helices for this curves. Also we obtain $(k,m)$-type slant helices for equiform differential geometry of spacelike curves in Minkowski space-time.

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Cite This Article

Bulut, F., Bektaş, M. (2020). Special helices on equiform differential geometry of spacelike curves in Minkowski space-time. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 2. https://doi.org/10.31801/cfsuasmas.686311

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References (8)

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