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Differential Equations of Null Quaternionic Curves
International Journal of Applied and Computational Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Construction of generalized null cartan curves using spacelike curves on null plane
Modern Physics Letters AIn this paper, we provide an effective tool for studying spacelike curves on null planes in mathematical and physical research. As an application, we propose a unified method for constructing generalized null Cartan curves.
Boyuan Xu, Xiaoyan Jiang, Donghe Pei
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Null Quaternionic Bertrand Partner Curves
Iranian Journal of Science and Technology, Transactions A: Science, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hamiltonian structure for null curve evolution
Nonlinearity, 2014We construct a Hamiltonian structure for null curve motions in a threedimensional Minkowski space. In order to define such a structure, a Lie algebra structure on variation vector fields along null curves is provided. Finally, we propose a new Hamiltonian evolution equation on null curves and the integrability of such equation is proved via a suitable ...
José del Amor +2 more
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Geometry of Null Curves in Lorentz Manifolds
1996The purpose of this chapter is to present the basic results on the general study of null curves in Lorentz manifolds. The reader will know at the end of this chapter as to why the discussion is restricted to Lorentz manifolds.
Krishan L. Duggal, Aurel Bejancu
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Null eğrilerin uygulamaları üzerine = On applications of null curves / [PDF]
Tez (Yüksek Lisans) - Süleyman Demirel Üniversitesi, Fen Bilimleri Enstitüsü, Matematik Anabilim Dalı, 2016.
Olgun, Başaran, 1980- 144988 author +2 more
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Null bertrand eğriler üzerine = On null bertrand curves / [PDF]
Kaynakça var.
Babaarslan, Murat, 1983- author 15267 +2 more
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ON NULL CURVES ON SURFACES AND NULL VECTORS IN LORENTZ SPACE
2007In this work, we compare the Darboux frame and the Frenet frame of a null curve lying on a spacelike surface in the three-dimensional Lorentz space, and we show that the normal curvature of the curve is a constant. Then we study the inner product of null vectors, to have results in terms of angles.
ÇÖKEN, A. Ceylan, ÇİFTÇİ, Ünver
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Duals of Vector Fields and of Null Curves
Results in Mathematics, 2007The notion of dual curve of projective differential geometry is generalized to a dualization operator on the space of curves in the tangent bundle of a real or complex Riemannian manifold M and on the space of vector fields too. In dimension 3 it turns out that dualization maps null curves to isotropic curves and vice versa.
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Inclined Curves of Null Curves in L5 and Their Characterizations
International Journal of Open Problems in Computer Science and Mathematics, 2012Zühal Küçükarslan +2 more
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