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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2018 / Cilt: 8 - Sayı: 2

Euclidean Curves with Incompressible Canonical Vector Field

Sıkıştırılamayan Kanonik Vektör Alana Sahip Öklit Eğrileri

Aziz YAZLA
Kadri ARSLAN
Eray DEMİRBAŞ
Yılmaz AYDIN
Pages
70–82
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Further we obtain someresults of the Euclidean curves with incompressible canonical vector fields in 4 -dimensional Euclidean space E4

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present study we consider Euclidean curves with incompressible canonicalvector fields.
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Key Findings & Data:We investigate such curves in terms of their curvature functions.
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Conclusion & Impact:Further we obtain someresults of the Euclidean curves with incompressible canonical vector fields in 4 -dimensional Euclidean space E4
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In the present study we consider Euclidean curves with incompressible canonicalvector fields. We investigate such curves in terms of their curvature functions. Recently,B.Y. Chen gave classification of plane curves with incompressible canonical vectorfields. For higher dimensional case we gave a complete classification of Euclideanspace curves with incompressible canonical vector fields. Further we obtain someresults of the Euclidean curves with incompressible canonical vector fields in 4 -dimensional Euclidean space E4

Özet

Bu çalışmada Öklit uzayında sıkıştırılamayan kanonik vektör alana sahip eğriler ele alınmıştır. Bu tür eğrilerin eğrilik fonksiyonları incelenmiştir. Son zamanlarda B.Y. Chen sıkıştırılamayan kanonik vektör alana sahip düzlemsel eğrilerin bir sınıflandırmasını vermiştir. Bu çalışmada yüksek boyutlu Öklit uzayında bu tür eğrilerin bir sınıflandırması verilmiştir. Özellikle 4-boyutlu Öklit uzayında bazı sonuçlar elde edilmiştir.

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Cite This Article

YAZLA, A., ARSLAN, K., DEMİRBAŞ, E., AYDIN, Y. (2022). Euclidean Curves with Incompressible Canonical Vector Field. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 8 - Sayı: 2, 70–82. https://ajindex.com/articles/428499

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References (9)

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