Results 21 to 30 of about 2,748,326 (232)
On pseudo null and null cartan darboux helices in minkowski 3-space [PDF]
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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Null Surfaces of Pseudo-spherical Spacelike Framed Curves in the Anti-de Sitter 3-space
We introduce null surfaces (or nullcone fronts) of pseudo-spherical spacelike framed curves in the three-dimensional anti-de Sitter space. These surfaces are formed by the light rays emitted from points on anti-de Sitter spacelike framed curves. We then classify singularities of the nullcone front of a pseudo-spherical spacelike framed curve and show ...
TUNCER, ORHAN OĞULCAN
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BETCHOV-DA RIOS EQUATION BY NULL CARTAN, PSEUDO NULL AND PARTIALLY NULL CURVE IN MINKOWSKI SPACETIME [PDF]
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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The pseudo-null geometric phase along optical fiber
© 2021 World Scientific Publishing Company.In this study, a pseudo-null space curve in Minkowski 3-space is used to describe an optical fiber that is injected into monochromatic linear polarized light.
Gürbüz, Nevin Ertuǧ
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Mannheim B-curve couples inminkowski 3-space [PDF]
© 2020 Tamkang University. All rights reserved. In this paper, we define null Cartan Mannheim and pseudo null Mannheim curves in Minkowski 3-space according to their Bishop frames.
Uçum A. +3 more
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In this paper, we obtain the parametric expressions of the canal hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres or pseudo hyperbolic hyperspheres whose centers lie on a pseudo null, partially null or null curves in $E^4_1$ and give their some geometric invariants such as unit normal vector fields, Gaussian curvatures ...
Altin, Mustafa +2 more
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On Backlund transformation and motion of null Cartan curves [PDF]
The 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 ...
Yavuz, Ayse, Erdogdu, Melek
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A Note on Parametric Surfaces in Minkowski 3-Space
With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic ...
Esra Betul Koc Ozturk
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On Killing Magnetic Fields of Magnetic Pseudo Null Curves in R_1^3
In present paper, we study the properties of the Killing magnetic field of a pseudo null magnetic curve in R_1^3 . We investigate for the T, N and B-magnetic cases of a pseudo null curve. We find the conditions for the Killing magnetic field to be pseudo null and derive the Frenet formulas for this field.
CEMILE B. IPLAR +2 more
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On focal curves of null Cartan curves [PDF]
The focal curve, which is determined as the locus of centers of osculating pseudo-spheres of a null Cartan curve, is investigated in Minkowski (n+2)-space Mn+2.
Şimşek, Hakan, Hakan ŞİMŞEK
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