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Inextensible Flows of Null Cartan Curves in Minkowski Space
Universe, 2023 This research focused on studying the flows of a null Cartan curve specified by the velocity and acceleration fields. We have proven that the tangential and normal velocities are influenced by the binormal velocity along the motion.
Samah Gaber, Abeer Al Elaiw
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Singularities of Focal Surfaces of Null Cartan Curves in Minkowski 3-Space [PDF]
Abstract and Applied Analysis, 2012 Singularities of the focal surfaces and the binormal indicatrix associated with a null Cartan curve will be investigated in Minkowski 3-space. The relationships will be revealed between singularities of the above two subjects and differential geometric ...
Zhigang Wang +4 more
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On focal curves of null Cartan curves [PDF]
Turkish Journal of Mathematics, 2017 Summary: The focal curve, which is determined as the locus of centers of osculatingpseudo-spheres of a null Cartan curve, is investigated in Minkowski \((n+2)\)-space \(\mathcal{M}^{n+2}\). Moreover, a curve called \textit{acceleration focal curve} of a null Cartan curve is introduced by using a new family of functions.
Håkan Simsek
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New results concerning Cartan null and pseudo null curves in Minkowski 3-space
Journal of Geometry, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Çetin Camcı, Ali Uçum, Kazim Ilarslan
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On the Bishop frames of pseudo null and null Cartan curves in Minkowski 3-space [PDF]
Journal of Mathematical Analysis and Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Milica Grbović, Emilija Nešović
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A STUDY ON A RULED SURFACE WITH LIGHTLIKE RULING FOR A NULL CURVE WITH CARTAN FRAME [PDF]
Bulletin of the Korean Mathematical Society, 2012 In this study, we investigate the curvature functions of ruled surface with lightlike ruling for a null curve with Cartan frame in Minkowski 3-space. Also, we give relations between the curvature functions of this ruled surface and curvature functions of central normal surface.
Tunahan Turhan
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AxiomsThis study investigates the singularity structures of lightlike hypersurfaces generated by null Cartan curves in Minkowski spacetime. We construct a hierarchical geometric framework consisting of a lightlike hypersurface LHβ, a critical lightlike surface
Xiaoming Fan, Yongsheng Zhu, Haijing Pan
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Solutions of Da Rios Vortex Filament Equation of Cartan Null Curves with Combescure Transformation
MathematicsIn this study, Cartan null curves connected via the Combescure transformation are investigated within the framework of Minkowski 3-space, and the necessary conditions for establishing such connections are derived.
Yanlin Li +3 more
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Hokkaido Mathematical Journal, 2011 Singularities of null Darboux developable, Gaussian surfaces and pseudo-spherical Darboux images associated with a null Cartan curve will be investigated in Minkowski 3-space. The relationships will be revealed between singularities of the above three subjects and differential geometric invariants of null Cartan curves, these invariants are deeply ...
Donghe Pei, Zhigang Wang
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Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2010 In this Letter, we investigate the ruled null surfaces of the principal normal indicatrix of a null Cartan curve in de Sitter 3-space, an important vacuum solution to Einstein's equations of general relativity with cosmological terms. We classify the singularities of the ruled null surfaces and reveal the relationships between the singularities of the ...
Donghe Pei, Zhigang Wang
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