Results 11 to 20 of about 1,852,222 (144)
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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On involutes of order k of a null Cartan curve in Minkowski spaces
Filomat, 2019 In this paper, we define an involute and an evolving involute of order k of a null Cartan curve in Minkowski space En1 for n ? 3 and 1 ? k ? n-1. In relation to that, we prove that if a null Cartan helix has a null Cartan involute of order 1 or 2, then it is Bertrand null Cartan curve and its involute is its Bertrand mate curve.
Muhammad Hanif, Hou Hua, Emilija Nesovic
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Null Cartan curve variations in 3D semi-Riemannian manifold
Hacettepe Journal of Mathematics and Statistics, 2021 The aim of this study is to investigate the variations of the Bishop frame curvatures for null Cartan curves in semi-Riemannian manifolds. The Killing equations in terms of the variations of the Bishop curvatures along the null Cartan curve is especially derived.
Ozdemir, Zehra
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On Cartan null Bertrand curves in Minkowski 3-space [PDF]
, 2021 Summary: In this paper, we consider Cartan null Bertrand curves in Minkowski 3-space. Since the principal normal vector of a null curve is a spacelike vector, the Bertrand mate curve of a null curve can be a timelike curve and a spacelike curve with spacelike principal normal. We give the necessary and suffient conditions for these cases to be Bertrand
Gökçek, Fatma, Erdem, Hatice Altın
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On pseudo null and null cartan darboux helices in minkowski 3-space [PDF]
Kuwait Journal of Science, 2016 In this paper, we introduce the notion of pseudo null and null Cartan Darboux helicesin Minkowski 3-space. We characterize the Darboux vectors of the pseudo null andthe null Cartan curves in terms of the Darboux helices and the rectifying curves.
Ufuk Öztürk, Emilija Nešović
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Similar and self-similar null Cartan curves in Minkowski-Lorentzian spaces [PDF]
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022 In the paper under review, some geometric properties of null Cartan curves in semi-Riemannian spaces \(\mathbb{M}^{n+2}\) with specific metric are presented. The author considers similarity transformations of these spaces which form a group. He introduces shape Cartan curvatures and the pseudo-orthonormal frame of a null Cartan curve which are ...
Şimşek, Hakan
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On Null Cartan Normal Helices in Minkowski 3-Space
AxiomsIn this paper, we introduce null Cartan normal helices in Minkowski space E13. We obtain explicit expressions for their torsions by considering the cases when the C-constant vector field is orthogonal to their axis or not orthogonal to it.
Emilija Nešović
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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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On Null Cartan Rectifying Isophotic and Rectifying Silhouette Curves Lying on a Timelike Surface in Minkowski Space $\mathbb{E}^3_1$ [PDF]
International Electronic Journal of GeometryIn this paper, we introduce generalized Darboux frames of the first and the second kind along a null Cartan curve lying on a timelike surface in Minkowski space ${E}^{3}_{1}$ and define null Cartan rectifying isophotic and rectifying silhouette curves in terms of the vector field that belongs to generalized Darboux frame of the first kind ...
Milica Grbović ćirić +2 more
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A study on null cartan curve in Minkowski 3-space [PDF]
Applied Mathematics and Nonlinear Sciences, 2020 Abstract Null cartan curves have been studied by some geometers in both Euclidean and Minkowski spaces, but some special characters of the curves are not considered. In this paper, we study weak AW ( k ) – type
Isah, Muhammad Abubakar +1 more
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