Results 1 to 10 of about 139,795 (161)
Involutes of Pseudo-Null Curves in Lorentz–Minkowski 3-Space
Mathematics, 2021 In this paper, we analyze involutes of pseudo-null curves in Lorentz–Minkowski 3-space. Pseudo-null curves are spacelike curves with null principal normals, and their involutes can be defined analogously as for the Euclidean curves, but they exhibit ...
Rafael López +3 more
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Null Darboux Curve Pairs in Minkowski 3-Space
Axioms, 2021 Based on the fundamental theories of null curves in Minkowski 3-space, the null Darboux mate curves of a null curve are defined which can be regarded as a kind of extension for Bertrand curves and Mannheim curves in Minkowski 3-space.
Jinhua Qian +3 more
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Singularities of Null Hypersurfaces of Pseudonull Curves [PDF]
Journal of Function Spaces, 2015 The main goal of this paper is to study the singularities of null hypersurfaces of pseudonull curves. To do this we construct a null frame and a Lorentz distance-squared function of the pseudonull curve.
Xiupeng Cui, Donghe Pei
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No Null-Helix Mannheim Curves in the Minkowski Space E13 [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We study a null Mannheim curve with time-like or space-like Mannheim partner curve in the Minkowski 3-space E13. We get the characterization of a null Mannheim curve.
Jae Won Lee
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Null Hybrid Curves and Some Characterizations of Null Hybrid Bertrand Curves
SymmetryIn this paper, we investigate null curves in R24, the four-dimensional Minkowski space of index 2, utilizing the concept of hybrid numbers. Hybrid and spatial hybrid-valued functions of a single variable describe a curve in R24. We first derive Frenet formulas for a null curve in R23, the three-dimensional Minkowski space of index 2, by means of ...
Jeta Alo
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Structure Functions of Pseudo Null Curves in Minkowski 3-Space
Mathematics, 2020 In this work, the embankment surfaces with pseudo null base curves are investigated in Minkowski 3-space. The representation formula of pseudo null curves is obtained via the defined structure functions and the k-type pseudo null helices are discussed ...
Jinhua Qian +3 more
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ON NULL CURVES ON SURFACES AND NULL VECTORS IN LORENTZ SPACE
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : In this work, we compare the Darboux frame and the Frenet frame of a null curve lying on a spacelike surface in the three-dimensional Lorentz space, and we show that the normal curvature of the curve is a constant.
A. Ceylan ÇÖKEN
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Null hypersurface caustics, closed null curves, and super entropy [PDF]
Physical Review D, 2021 Recently it was discovered that null hypersurfaces can develop caustics outside the event horizon of super-entropic Kerr-AdS black holes, in contrast to the usual Kerr-AdS case. In this work we explore a few more examples of black hole spacetimes in which such exterior caustics can develop.
Sousuke Noda, Yen Chin Ong
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Transport along null curves [PDF]
Journal of Physics A: Mathematical and General, 2000 Fermi Transport is useful for describing the behaviour of spins or gyroscopes following non-geodesic, timelike world lines. However, Fermi Transport breaks down for null world lines. We introduce a transport law for polarisation vectors along non-geodesic null curves.
Samuel, Joseph, Nityananda, Rajaram
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Inextensible Flows of Null Cartan Curves in Minkowski Space
Universe, 2023 This research focused on studying the flows of a null Cartan curve specified by the velocity and acceleration fields. We have proven that the tangential and normal velocities are influenced by the binormal velocity along the motion.
Samah Gaber, Abeer Al Elaiw
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