Results 11 to 20 of about 2,748,326 (232)
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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On Pseudo Null Bertrand Curves in Minkowski Space-time
Kyungpook mathematical journal, 2014 In this paper, we prove that there are no pseudo null Bertrand curve with curvature functions k1(s) = 1; k2(s) 0 and k3(s) other than itself in Minkowski space- time E 4 and by using the similar idea of Matsuda and Yorozu (13), we define a new kind of Bertrand curve and called it pseudo null (1; 3)-Bertrand curve.
Gök I., Nurkan S.K., Ilarslan K.
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On null and pseudo null Mannheim curves in Minkowski 3-space [PDF]
Journal of Geometry, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grbović, Milica +2 more
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On partially null and pseudo null curves in the semi-euclidean space $$ R^{4}_{2} $$ [PDF]
Journal of Geometry, 2006 In this paper, we obtain the Frenet equations of a pseudo null and a partially null curves, lying fully in the semi–Euclidean space $$ R^{4}_{2} $$ , and classify all such curves with constant curvatures.
Petrović-Torgašev, Miroslava +2 more
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Taiwanese Journal of Mathematics, 2008 In this paper, we define rectifying curves in Minkowski space-time and characterize null, pseudo null and partially null rectifying curves in terms of their curvatures. Also, we give some explicit equations of null, pseudo null and partially null rectifying curves in $E^4_1$.
˙Ilarslan, Kazlm, Neˇsovi´c, Emilija
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Smarandache Breadth Pseudo Null Curves In Minkowski Space-Time [PDF]
, 2009 A regular curve with more than 2 breadths in Minkowski 3-space is called a Smarandache Breadth Curve [8]. In this short paper, we adapt notion of Smarandache breadth curves to Pseudo null curves in Minkowski space-time and study a special case of Smarandache breadth curves.
Turgut, Melih, Melih Turgut
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On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space [PDF]
International Electronic Journal of Geometry, 2016 In this paper, we classify the ruled surfaces with a pseudo null base curve in Minkowski 3-space as spacelike, timelike and lightlike surfaces and obtain the corresponding striction curve and distribution parameter. In particular, we give some examples of lightlike developable surfaces with pseudo null base curve. As an application, we show that pseudo
NEŠOVİĆ, Emilija +3 more
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On Generalized Darboux Frame of a Pseudo Null Curve Lying on a Lightlike Surface in Minkowski 3-space [PDF]
International Electronic Journal of Geometry, 2023 In this paper we define generalized Darboux frame of a a pseudo null curve $\alpha$ lying on a lightlike surface in Minkowski space $\mathbb{E}_{1}^{3}$. We prove that $\alpha$ has two such frames and obtain generalized Darboux frame's equations. We obtain the relations between the curvature functions of $\alpha$ with respect to the Darboux frame ...
Jelena Djordjević, Emilija Nešović
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On Bishop frame of a pseudo null curve in Minkowski space-time
TURKISH JOURNAL OF MATHEMATICS, 2020 Summary: In this paper, we introduce the Bishop frame of a pseudo null curve \(\alpha\) in Minkowski space-time. We obtain the Bishop frame equations and the relation between the Frenet frame and the Bishop frame. We find the third order nonlinear differential equation whose particular solutions determine the form of the Bishop curvatures.
Djordjevic, Jelena, Nesovic, Emilija
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Pseudo-Spherical Null Quaternionic Curves in Minkowski Space R14 [PDF]
Acta Physica Polonica A, 2016 In this study, we define the osculating pseudo-sphere of a null quaternionic Cartan curve in Minkowski space R-1(4). We give a characterization for pseudo-spherical null quaternionic Cartan curves.
A Tuna Aksoy +3 more
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