Results 1 to 10 of about 13,985 (193)
Stationary acceleration of Frenet curves [PDF]
Journal of Inequalities and Applications, 2017 In this paper, the stationary acceleration of the spherical general helix in a 3-dimensional Lie group is studied by using a bi-invariant metric. The relationship between the Frenet elements of the stationary acceleration curve in 4-dimensional Euclidean
Nemat Abazari +3 more
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Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$
Journal of New Theory, 2022 In this paper, the timelike V-Bertrand curve, a new type Bertrand curve in Minkowski 3-Space $E_{1}^{3}$, is characterized. Based on the timelike V-Bertrand curve, the properties of the timelike T, N, and B Bertrand curves are obtained. From the timelike
Burhan Bilgin, Çetin Camcı
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Timelike-Ruled and Developable Surfaces in Minkowski 3-Space E13
Frontiers in Physics, 2022 In this study, the timelike-ruled and developable surfaces are constructed in Minkowski 3-space E13. Using the E. Study map, we demonstrate that dual forms of timelike-ruled and developable surfaces can be obtained from the coordinates and first ...
Fatemah Mofarreh
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On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13
Abstract and Applied Analysis, 2022 The Bishop frame or rotation minimizing frame (RMF) is an alternative approach to define a moving frame that is well defined even when the curve has vanished second derivative, and it has been widely used in the areas of computer graphics, engineering ...
Nadia Alluhaibi +2 more
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Some characterizations of timelike rectifying curves in de sitter 3 space
Cumhuriyet Science Journal, 2020 De Sitter space is a non-flat Lorentzian space form with positive constant curvature which plays an important role in the theory of relativity. In this paper, we define the notions of timelike rectifying curve and timelike conical surface in De Sitter 3 ...
Mahmut Mak
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On the Timelike Circular Surface and Singularities in Minkowski 3-Space
Axioms, 2023 In this paper, we have parameterized a timelike (Tlike) circular surface (CIsurface) and have obtained its geometric properties, including striction curves, singularities, Gaussian and mean curvatures.
Areej A. Almoneef, Rashad A. Abdel-Baky
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Geometry of Curves with Fractional Derivatives in Lorentz Plane
Journal of New Theory, 2022 In this paper, the geometry of curves is discussed based on the Caputo fractional derivative in the Lorentz plane. Firstly, the tangent vector of a spacelike plane curve is defined in terms of the fractional derivative.
Meltem Öğrenmiş
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Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space
Journal of Mathematical Sciences and Modelling, 2018 The intention of this article is to study on timelike uniform B-spline curves in Minkowski-3 space. In our paper, we take the control points of uniform B-spline curves as a timelike point in Minkowski-3 space.
Hatice Kuşak Samancı
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One-Parameter Hyperbolic Spatial Locomotions and Invariants of the Axode
Mathematics, 2023 In this paper, based on the E. Study map, direct appearances were sophisticated for one-parameter hyperbolic dual spherical locomotions and invariants of the axodes.
Areej A. Almoneef, Rashad A. Abdel-Baky
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Mannheim curves and their partner curves in Minkowski 3-space E13
Demonstratio Mathematica, 2022 The modified orthogonal frame is an important tool to study analytic space curves whose curvatures have discrete zero points. In this article, by using the modified orthogonal frame, Mannheim curves and their partner curves are investigated in Minkowski ...
Elsharkawy Ayman, Elshenhab Ahmed M.
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