Results 11 to 20 of about 2,583,298 (291)
Darboux Associated Curves of a Null Curve on Pseudo-Riemannian Space Forms
Mathematics, 2020 In this work, the Darboux associated curves of a null curve on pseudo-Riemannian space forms, i.e., de-Sitter space, hyperbolic space and a light-like cone in Minkowski 3-space are defined.
Jinhua Qian +2 more
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Null Curve Evolution in Four-Dimensional Pseudo-Euclidean Spaces
Advances in Mathematical Physics, 2016 We define a Lie bracket on a certain set of local vector fields along a null curve in a 4-dimensional semi-Riemannian space form. This Lie bracket will be employed to study integrability properties of evolution equations for null curves in a pseudo ...
José del Amor +2 more
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Conjugate mates for non-null Frenet curves [PDF]
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 For each non-null Frenet curve \gamma in Minkowski 3-space, there exists a unique unit speed non-null curve tangentto the principal binormal vector field of \gamma. We briefly call this curve the conjugate mate of\gamma . The aim of thispaper is to prove
Alev Kelleci
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Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In Lorentz-Minkowski 3-space, null scrolls are ruled surfaces with a null base curve and null rulings. Their mean, as well as their Gaussian curvature, depends only on a parameter of a base curve. In the present paper, we obtain the first-order nonlinear
Šipuš Željka Milin +2 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.
Şimşek, Hakan, Hakan ŞİMŞEK
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A Study on a Partially Null Curve in E₂⁴ [PDF]
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2018 In this paper, we study with Frenet equations which are given in [3] of a partially null curve in Semi- Euclidean 4-space E₂⁴ with index 2. By using the Frenet equations, we give some theorem and corollary. A characterization of a hyperbolic partially null curve in E₂⁴ is given. Additionally, we examine harmonic curvatures and curvatures of this curve
İyigün, Esen
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On invariants of null curves in the pseudo-Euclidean geometry
Differential Geometry and its Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peksen, Omer, Khadjiev, Djavvat
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BETCHOV-DA RIOS EQUATION BY NULL CARTAN, PSEUDO NULL AND PARTIALLY NULL CURVE IN MINKOWSKI SPACETIME [PDF]
, 2023 The aim of this paper is to investigate Betchov-Da Rios equation by using null Cartan, pseudo null and partially null curve in Minkowski spacetime. Time derivative formulas of frame of s parameter null Cartan, pseudo null and partially null curve are ...
Li, Yanlin, Yavuz, Ayse, Erdogdu, Melek
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On Characterizations of W-Directional Curves of Null Curves in Minkowski 4-Space
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2022 In the present paper, we investigate the casual characterizations of W-directional curves of null curves in Minkowski 4-space. In section two, the basic concepts of curves with their Frenet equations in Minkowski 4-space are provided.
Arfah Arfah
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Some characterizations of null osculating curves in the Minkowski space-time; pp. 1–8 [PDF]
Proceedings of the Estonian Academy of Sciences, 2012 In this paper we give the necessary and sufficient conditions for null curves in E41 to be osculating curves in terms of their curvature functions. In particular, we obtain some relations between null normal curves and null osculating curves as well as ...
Kazım İlarslan, Emilija Nešović
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