SavedAdd your journal

Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2020 / Cilt: 10 Sayı: 2

A Different Interpretation on Magnetic Surfaces Generated by Special Magnetic Curve in Q2 ⊂ E 3 1

𝐐𝟐 ⊂ 𝑬𝟑1'de Özel Manyetik Eğri Tarafından Oluşturulan Manyetik Yüzeyler Üzerine 𝟏 Farklı Bir Yorum

Fatma Almaz(FIRAT UNIVERSITY)0000-0002-1060-7813
Mihriban Kulahci(FIRAT UNIVERSITY)0000-0002-8621-5779
Pages
524–547
Publication Date
2020-12-30
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Furthermore, the specific kinetic energy, specific angular momentum and conditions being geodesic on rotational surface generated by α-magnetic curve are expressed with the help of Clairaut's theorem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:By thinking the magnetic flow connected by the Killing magnetic field, the magnetic field on the setting out particle orbit is investigated in 𝐐2 ⊂ 𝐸31 .
📊
Key Findings & Data:Clearly, dealing with the Killing magnetic field of 𝛼 -magnetic curve, the rotational surface generated by 𝛼 -magnetic is expressed in 𝐐2 ⊂ 𝐸31, and the variant kinds of axes of rotation in lightlike cone 𝐐2 ⊂ E31 is given.
💡
Conclusion & Impact:Furthermore, the specific kinetic energy, specific angular momentum and conditions being geodesic on rotational surface generated by α-magnetic curve are expressed with the help of Clairaut's theorem.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Magnetic curve · Null cone · Killing vector field

Abstract

By thinking the magnetic flow connected by the Killing magnetic field, the magnetic field on the setting out particle orbit is investigated in 𝐐2 ⊂ 𝐸31 . Clearly, dealing with the Killing magnetic field of 𝛼 -magnetic curve, the rotational surface generated by 𝛼 -magnetic is expressed in 𝐐2 ⊂ 𝐸31, and the variant kinds of axes of rotation in lightlike cone 𝐐2 ⊂ E31 is given. Furthermore, the specific kinetic energy, specific angular momentum and conditions being geodesic on rotational surface generated by α-magnetic curve are expressed with the help of Clairaut's theorem.

🔖

Cite This Article

Almaz, F., Kulahci, M. (2020). A Different Interpretation on Magnetic Surfaces Generated by Special Magnetic Curve in Q2 ⊂ E 3 1. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 10 Sayı: 2, 524–547. https://doi.org/10.37094/adyujsci.713156

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (22)

  1. Almaz, F., Kulahci, M.A., A survey on magnetic curves in 2-dimensional lightlike cone, Malaya Journal of Matematik, 7(3), 477-485, 2019.
  2. Asperti, A., Dajezer, M., Conformally Flat Riemannian Manifolds as Hypersurface of the Light Cone, Canadian Mathematical Bulletin, 32, 281-285, 1989.
  3. Barros, M., Cabrerizo, M.F., Romero, A., Magnetic Vortex Filament Flows, Journal of Mathematical Physics, 48, 1-27, 2007.
  4. Barros, M., Romero, A., Magnetic Vortices, Europhysics Letters, 77, 1-5, 2007.
  5. Sunada, T., Magnetic Flows on a Riemannian Surface, In Proceedings of KAIST Mathematics Workshop, 93-108, 1993.
  6. Bozkurt, Z., Gök, İ., Yaylı, Y., Ekmekci, F.N., A new approach for magnetic curves in Riemannian 3D-manifolds, Journal of Mathematical Physics, 55, 1-12, 2014.
  7. Bejan, C.L., Druta-Romaniuc, S.L., Walker manifolds and Killing magnetic curves, Differential Geometry and its Applications, 35, 106-116, 2014.
  8. Kruiver, P.P., Dekkers, M.J., Heslop, D., Quantification of magnetic coercivity componets by the analysis of acquisition, Earth and Planetary Science Letters, 189(3-4), 269-276, 2001.
  9. Munteanu, M.I., Nistor, A.I., A note magnetic curves on 𝑆 ^{2n+1} l'Académie des Sciences - Series I, 352, 447-449, 2014.
  10. Brinkmann, W.H., On Riemannian spaces conformal to Euclidean space, Proceedings of the National Academy of Sciences of the United States of America, 9, 1-3, 1923.
  11. Kuhnel, W., Differential geometry curves- surfaces and manifolds, American Mathematical Society, Second Edition, United States of America, 2005.
  12. Kulkarni, D.N., Pinkall, U., Conformal geometry, A Publication of the Max-Planck- Institut für Mathematik, Bonn, Aspects of Mathematics, 12, 1988.
  13. Pressley, A., Elementary differential geometry, Springer Undergraduate Mathematics Series, Second Edition, Springer-Verlag London, 2010.
  14. Calvaruso, G., Munteanu, M.I., Perrone, A., Killing magnetic curves in three- dimensional almost paracontact manifolds, Journal of Mathematical Analysis and Applications, 426, 423-439, 2015.
  15. Druta-Romaniuc, S.L., Munteanu, M.I., Killing magnetic curves in a Minkowski 3- space, Nonlinear Analysis Real World Applications, 14, 383-396, 2013.
  16. Kulahci, M., Bektas, M., Ergüt, M., Curves of AW(k)-type in 3-dimensional null cone, Physics Letters A, 371, 275-277, 2007.
  17. Kulahci, M., Almaz, F., Some characterizations of osculating in the lightlike cone, Boletim da Sociedade Paranaense de Matematica, 35(2), 39-48, 2017.
  18. Liu, H., Curves in the lightlike cone, Contributions to Algebra and Geometry, 45(1), 291-303, 2004.
  19. Liu, H., Meng, Q., Representation formulas of curves in a two- and three-dimensional lightlike cone, Results in Mathematics, 59, 437-451, 2011.
  20. Walecka, J.D., Introduction to general relativity, World Scientific, Singapore, 2007.
  21. Walecka, J.D., Topics in modern physics: theoretical foundations, World Scientific, 2013.
  22. Lerner, D., Lie derivatives, ısometries, and Killing vectors, Department of Mathematics, University of Kansas, Lawrence, Kansas, 66045-7594, 2010.