Results 1 to 10 of about 10,612 (78)
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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Normal Partner Curves of a Pseudo Null Curve on Dual Space Forms
Mathematics, 2020 In this work, a kind of normal partner curves of a pseudo null curve on dual space forms is defined and studied. The Frenet frames and curvatures of a pseudo null curve and its associate normal curve on de-Sitter space, its associate normal curve on ...
Jinhua Qian, Xueqian Tian, Young Ho Kim
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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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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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Pseudo null growth model and its classifications based on generalized vortex filament equation
Heliyon, 2022 The pseudo null growth model in Minkowski 3-space is shaped by evolving a pseudo null curve as denoted direction, growth velocity, and stretch in this paper.
Jinhua Qian, Yao Guo, Young Ho Kim
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Curves in Lightlike Planes in Three-Dimensional Lorentz–Minkowski Space
Mathematics, 2023 In this paper, we analyze the intrinsic geometry of lightlike planes in the three-dimensional Lorentz–Minkowski space M3. We connect the theory of curves lying in lightlike planes in M3 with the theory of curves in the simply isotropic plane I2. Based on
Ivana Filipan +2 more
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A New Angular Measurement in Minkowski 3-Space
Mathematics, 2020 In Lorentz−Minkowski space, the angles between any two non-null vectors have been defined in the sense of the angles in Euclidean space. In this work, the angles relating to lightlike vectors are characterized by the Frenet frame of a pseudo null ...
Jinhua Qian +3 more
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POSITION VECTORS OF A PARIALLY NULL AND PSEUDO NULL W-CURVES IN MINKOWSKI SPACE-TIME [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2018 In this paper, we introduced a position vector of a space-like curve with space-like principal normal vector and null first binormal vector. Also, we introduced a position vector of a space-like curve with space-like first binormal vector and null ...
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Transversal Intersection Curves of Two Surfaces in Minkowski 3-Space
Selecciones Matemáticas, 2018 In this paper, we study the differential geometry of the transversal intersection curve of two surfaces in Minkowski 3-space, where each pair satisfies the following types spacelike-lightlike, timelike-lightlike and lightlike-lightlike.
Osmar Alêssio +5 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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