Results 91 to 100 of about 146 (125)
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On the Cartan Curvatures of a Null Curve in Minkowski Spacetime
Geometriae Dedicata, 2005The authors reconstruct the Cartan frame of a null curve in Minkowski space-time for an arbitrary parameter, and they characterize pseudo-spherical null curves and Bertrand null curves.
Ünver Çiftçi
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On the Bishop frames of pseudo null and null Cartan curves in Minkowski 3-space
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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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 focal curves of null Cartan curves
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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On Backlund transformation and motion of null Cartan curves
International Journal of Geometric Methods in Modern Physics, 2021The main scope of this paper is to examine null Cartan curves especially the ones with constant torsion. In accordance with this scope, the position vector of a null Cartan curve is stated by a linear combination of the vector fields of its pseudo-orthogonal frame with differentiable functions.
Erdoğdu, Melek, Yavuz, Ayşe
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Some New Properties of Surfaces Generated by Null Cartan Curves
International Electronic Journal of Geometry, 2022In this paper, some special types of surfaces with null Cartan base curve are investigated. The generating lines of the surfaces are chosen as a linear combination of Cartan frame fields with non-constant differentiable functions. Firstly, the surfaces whose generating lines have the same direction of Cartan frame fields B; N and T are examined ...
Ayşe Yavuz, Melek Erdoğdu
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Null Cartan Bertrand curves of AW(k)-type in Minkowski 4-space
Physics Letters, Section A: General, Atomic and Solid State Physics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Donghe Pei, Jianguo Sun
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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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New results on Cartan null and pseudo null Bertrand curves in Minkowski 3-space
Advanced Studies: Euro-Tbilisi Mathematical Journal, 2023Hatice Altin Erdem, Kazim İarslan
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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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