Results 101 to 110 of about 146 (125)
On bi-null Cartan curves in semi-Euclidean 6-space with index 3
Journal of Geometry, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makoto Sakaki, Ali Uçum, Kazim Ilarslan
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Some of the next articles are maybe not open access.
Bi-null Cartan curves in semi-Euclidean spaces of index 2
Beitrage Zur Algebra Und Geometrie, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makoto Sakaki
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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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Singularities of null surfaces of null Cartan curves in three-dimensional anti-de Sitter space
Topology and Its Applications, 2018 The authors study the geometric properties of a kind of null surfaces associated to null Cartan curves in 3-dimensional anti-de Sitter space from the singularity theory approach in the present paper. The authors mention and believe that the geometric informations in anti-de Sitter space are more rich than in hyperbolic space.
Sining Wei, Liang Chen
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Hyperbolic worldsheets and worldlines of null Cartan curves in de Sitter 3-space
International Journal of Modern Physics A, 2021The hyperbolic worldsheets and the hyperbolic worldline generated by null Cartan curves are defined and their geometric properties are investigated. As applications of singularity theory, the singularities of the hyperbolic worldsheets and the hyperbolic worldline are classified by using the approach of the unfolding theory in singularity theory.
Qingxin Zhou, Jingbo Xu, Zhigang Wang
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A novel approach to the motion equations of null Cartan curves via the compatible Hasimoto map
Optik, 2023We would like to thank the referees and editor for reviewing the paper carefully and their valuable comments to improve the quality of the paper.
Körpınar, Talat +2 more
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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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On Bishop frame of a null Cartan curve in Minkowski space-time
International Journal of Geometric Methods in Modern Physics, 2018In this paper, we define the Bishop frame of a null Cartan curve in Minkowski space-time [Formula: see text]. We obtain the Bishop’s frame equations of a null Cartan curve which lies in the timelike hyperplane of [Formula: see text]. We show that a null Cartan cubic lying in the timelike hyperplane of [Formula: see text] has two Bishop frames, one of ...
Kazim Ilarslan, Emilija Nešović
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On Bäcklund transformation and vortex filament equation for null Cartan curve in Minkowski 3-space
Mathematical Physics Analysis and Geometry, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Milica Grbović, Emilija Nešović
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