Results 31 to 40 of about 280 (131)
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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Parallel curves in Minkowski 3-space
Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 For a curve on the plane, there exists the curve at a fixed distance r (except for some degenerate cases). The curve can be alternatively produced as an envelope of circles with the radius r moving along the curve . As a result,when this structure is translated to three-dimensional space two parallel curves are obtained.
Saltık, Burçin +2 more
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Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space
Mathematics, 2021 The investigation of objects in Minkowski space is of great significance, especially for those objects with mathematical and physical backgrounds. In this paper, we study nullcone fronts, which are formed by the light rays emitted from points on a ...
Pengcheng Li, Donghe Pei
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Möbius inversion of surfaces in the Minkowski 3-space
Journal of Geometry and Physics, 2023 We define and present some proprieties of the Möbius inversion of surfaces in the Minkowski 3-space. We prove that the Möbius inversion preserves the lines of principal curvature and the locus of points where the metric is degenerate, but it does not preserve the parabolic set.
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On Razzaboni Transformation of Surfaces in Minkowski 3-Space
Cumhuriyet Science Journal, 2019 In this paper, we investigate the surfaces generated bybinormal motion of Bertrand curves, which is called Razzaboni surface, inMinkowski 3-space.
Melek Erdoğdu, Mustafa Özdemir
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SO(1,3) Yang-Mills solutions on Minkowski space via cosets
SciPost Physics Proceedings, 2023 We present a novel family of Yang-Mills solutions, with gauge group SO(1,3), on Minkowski space that are geometrically distinguished into two classes, viz. interior and exterior of the lightcone. We achieve this by foliating the former with SO(1,3)/SO(3)
Kaushlendra Kumar
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Waveguide Photoactuators: Materials, Fabrication, and Applications
Advanced Robotics Research, EarlyView.Waveguide photoactuators convert guided light into mechanical motion. Their tethered‐flexible design enables minimally invasive surgery and confined‐space robotics. This review aims to guide materials selection, device design, and system integration, accelerating the transition of waveguide photoactuators from laboratory prototypes to versatile ...
Minjie Xi +4 more
wiley +1 more source
Timelike Circular Surfaces and Singularities in Minkowski 3-Space
Symmetry, 2022 The present paper is focused on time-like circular surfaces and singularities in Minkowski 3-space. The timelike circular surface with a constant radius could be swept out by moving a Lorentzian circle with its center while following a non-lightlike curve called the spine curve. In the present study, we have parameterized timelike circular surfaces and
Yanlin Li 0003 +2 more
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A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
Mathematische Nachrichten, EarlyView.ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley +1 more source
A study on null cartan curve in Minkowski 3-space [PDF]
Applied Mathematics and Nonlinear Sciences, 2020 Abstract Null cartan curves have been studied by some geometers in both Euclidean and Minkowski spaces, but some special characters of the curves are not considered. In this paper, we study weak AW ( k ) – type
Isah, Muhammad Abubakar +1 more
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