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Journals / Turkish Journal of Mathematics and Computer Science / 2021 / Cilt: 13 - Sayı: 2

Some Characterizations of Spherical Indicatrix Curves Generated by Flc Frame

Süleyman ŞENYURT
Kebire Hilal AYVACI
Davut CANLI
Pages
379–387
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

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

Last, we have provided the geodesic curvatures according to both Euclidean space $E^3$ and unit sphere $S^2$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the spherical indicatrices of Flc frame vectors were defined on unit sphere.
📊
Key Findings & Data:The arc length parameters and the Frenet vectors of these indicatrix curves were calculated, as well.
💡
Conclusion & Impact:Last, we have provided the geodesic curvatures according to both Euclidean space $E^3$ and unit sphere $S^2$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, the spherical indicatrices of Flc frame vectors were defined on unit sphere. The arc length parameters and the Frenet vectors of these indicatrix curves were calculated, as well. Last, we have provided the geodesic curvatures according to both Euclidean space $E^3$ and unit sphere $S^2$.

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Cite This Article

ŞENYURT, S., AYVACI, K. H., CANLI, D. (2022). Some Characterizations of Spherical Indicatrix Curves Generated by Flc Frame. Turkish Journal of Mathematics and Computer Science, Cilt: 13 - Sayı: 2, 379–387. https://ajindex.com/articles/609077

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References (12)

  1. Bishop, R.L., There is more than one way to Frame a curve, American Mathematical Monthly, 82(3)(1975), 246–251
  2. Capın, R., Minkowski Uzayında Küresel Gösterge Eğrileri, Yüksek Lisans Tezi, Gaziantep Üniversitesi Fen Bilimleri Enstitüsü, Gaziantep, 77p, 2016
  3. Dede, M., A new representation of tubular surfaces, Houston J. Math. 45(3)(2019), 707—720
  4. Farouki, R.T., Han, C.Y., Manni, C., Sestini, A., Characterization and construction of helical polynomial space curves, Journal of Computational and Applied Mathematics 162(2004), 365-–392
  5. Gökyeşil, D., Dual Uzayda Bazı Eğrilerin Dual Bishop Çatısına Göre Karakterizasyonları, Yüksek Lisans Tezi, Manisa Celal Bayar Üniversitesi Fen Bilimleri Enstitüsü, Manisa, 65p, 2018
  6. Hacısalihogğlu, H.H., Diferansiyel Geometri, Ankara Üniversitesi Fen Fakültesi, Ankara, 1993
  7. Kula, L., Yayli, Y. On slant helix and its spherical indicatrix, Appl. Math. Comput., 169(1)(2005), 600–607
  8. Larson, R., Elemantary Linear Algebra, The Pennsylvania State University, Boston, 2012
  9. O’Neill, B., Elementary Diferential Geometry. New York, Academic Press Inc., 1966
  10. Şenyurt, S., Natural lifts and the geodesic sprays for the spherical indicatrices of the Mannheim partner curves in E3, International Journal of the Physical Sciences, 7(16)(2012), 2414–2421
  11. Şenyurt, S., Özgüner, Z., Bertrand eğri çiftinin küresel göstergelerinin geodezik eğrilikleri ve tabii liftleri, Ordu Üniv. Bil. Tek. Derg., 3(2)(2013), 58–81
  12. Yılmaz, S., Özyılmaz, E., Turgut, M., New spherical indicatrices and their characterizations, An. Şt. Univ. Ovidius Constanta., 18(2)(2010), 337–354.