On characterizations on the surfaces of rotation formed by magnetic curves in Q2 ⊂ E31
*Fatma AlmazCorresponding authorfb_fat_almaz@hotmail.comDepartment of MathematicsFaculty of ScienceFirat UniversityElaz, 23119, Trk’yeView full profile → , Mİhrİban Alyamaç Külahcimihribankulahci@gmail.coDepartment of MathematicsFaculty of ScienceFirat UniversityElaz, 23119, Trk’yeView full profile →
* Corresponding author · click or hover a name for details
- Published Online:
- 16 Jan 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDSGT-21-2-P13
- Pages:
- 163–179
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References
[1] Almaz F., Kulahci, M.A., A survey on magnetic curves in 2-dimensional lightlike cone, Malaya Journal of Matematik, Vol. 7, Number 3, 477-485, (2019).
[2] Almaz F., Kulahci, M.A., On x-magnetic surfaces generated by trajectory of x-magnetic curves in null cone, General Letters in Mathematics, Vol. 5, Number 2, 84-92, (2018).
[3] Almaz F., Kulahci, M.A., A different interpretation on magnetic surfaces generated by special magnetic curve in Q2 ⊂ E31 , Adyaman University Journal of Science, Vol. 10, Number 2, 524-547, (2020).
[4] Asperti, A., Dajezer, M., Conformally flat Riemannian manifolds as hypersurface of the light cone, Canad. Math. Bull., Vol. 32, 281-285, (1989).
[5] Aydin, M.E., Magnetic curves associated to Killing vector fields in a Galilean space, Mathematical Sciences and Applications E-notes Vol. 4, Number 1, 144-150, (2016).
[6] Barros, M., Cabrerizo, M.F., Romero, A., Magnetic vortex filament flows, J. Math. Phys., Vol. 48, 1-27, (2007).
[7] Barros, M., Romero, A., Magnetic vortices, Europhys Lett., Vol. 77, 1-5, (2007).
[8] Bozkurt, Z., Gok, I., Yayl, Y., Ekmekci, F.N., A new approach for magnetic curves in Riemannian 3D-manifolds, J. Math. Phys., Vol. 55, 1-12, (2014).
[9] Druta-Romaniuc, S.L., Munteanu, M.I., Killing magnetic curves in a Minkowski 3-space, Non-linear Anal-Real., Vol. 14, 383-396, (2013).
[10] Druta-Romaniuc, S.L., Munteanu, M.I., Magnetic curves corresponding to Killing magnetic fields in E3, Journal of Mathematical Physics, Vol. 52, 113506, (2011).
[11] Kuhnel, W., Di erential geometry curves-surfaces and manifolds, Second Edition, Providence, RI, United States, American Math. Soc., 2005.
[12] Kulahci, M., Almaz, F., Some characterizations of osculating in the lightlike cone, Bol. Soc. Paran. Math., Vol. 35, Number 2, 39-48, (2017).
[13] Kulkarni, D.N., Pinkall, U., Conformal geometry, Friedr. Viewey and Son, 1988.
[14] Lerner, D., Lie derivatives, Isometries, and Killing vectors, Department of Mathematics, University of Kansas, Lawrence, Kansas 66045-7594, 2010.
[15] Liu, H., Curves in the lightlike cone, Contributions to Algebra and Geometry, Vol. 45, Number 1, 291-303, (2004).
[16] Liu, H., Meng, Q., Representation formulas of curves in two- and three-dimensional lightlike cone, Results Math., Vol. 59, 437-451, (2011).
[17] Munteanu, M.I., Nistor, A.I., A note magnetic curves on S2n+1, C. R. Acad. Sci. Paris, Ser. I, Vol. 352, 447-449, (2014).
[18] Munteanu, M.I., Nistor, A.I., The classification of Killing magnetic curves in S2 R, Journal of Geometry and Physics, Vol. 62, 170-182, (2012).
[19] Ogrenmis, A.O., Killing magnetic curves in three dimensional isotropic space, Prespacetime Journal, Vol. 7, Number 15, 2015-2022, (2015).
[20] Pressley, A., Elementary di erential geometry, second edition. London, UK. Springer-Verlag London Limited, 2010.
[21] Sunada, T., Magnetic flows on a Riemannian Surface, in: Proceedings of KAIST Mathematics workshop, 93-108, 1993.
[22] Walecka, J.D., Introduction to general relativity, World Scientific, Singapore, 2007.
[23] Walecka, J.D., Topics in modern physics: Theoretical foundations, World Scientific, 2013.
