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Relevant bibliographies by topics / Spacelike curve

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Academic literature on the topic 'Spacelike curve'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Spacelike curve"

1

ALTINBAŞ, Hasan. "Spacelike Ac-Slant Curves with Non-Null Principal Normal in Minkowski 3-Space." Journal of New Theory, no. 45 (December 31, 2023): 120–30. http://dx.doi.org/10.53570/jnt.1401001.

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In this paper, we define a spacelike ac-slant curve whose scalar product of its acceleration vector and a unit non-null fixed direction is a constant in Minkowski 3-space. Furthermore, we give a characterization depending on the curvatures of the spacelike ac-slant curve. After that, we get the relationship between a spacelike ac-slant curve and several distinct types of curves, such as spacelike Lorentzian spherical curves, spacelike helices, spacelike slant helices, and spacelike Salkowski curves, enhancing our understanding of its geometric properties in Minkowski 3-space. Finally, we used

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2

Koc Ozturk, Esra Betul, Ufuk Ozturk, Kazim Ilarslan, and Emilija Nešović. "On Pseudospherical Smarandache Curves in Minkowski 3-Space." Journal of Applied Mathematics 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/404521.

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In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelike curve lying on pseudosphere in Minkowski 3-space. We obtain the geodesic curvature and the expressions for the Sabban frame’s vectors of spacelike and timelike pseudospherical Smarandache curves. We also prove that if the pseudospherical null straight lines are the Smarandache curves of a spacelike pseudospherical curveα, thenαhas constant geodesic curvature. Finally, we give some examples of pseudospherical Smarandache curves.

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3

Gao, Ya, Jing-Hua Li, and Jing Mao. "Translating solutions for a class of quasilinear parabolic initial boundary value problems in Lorentz–Minkowski plane R12." Journal of Mathematical Physics 63, no. 3 (2022): 033508. http://dx.doi.org/10.1063/5.0071167.

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In this paper, we investigate the evolution of spacelike curves in the Lorentz–Minkowski plane [Formula: see text] along prescribed geometric flows (including the classical curve shortening flow or mean curvature flow as a special case), which correspond to a class of quasilinear parabolic initial boundary value problems, and can prove that this flow exists for all time. Moreover, we can also show that the evolving spacelike curves converge to a spacelike straight line or a spacelike grim reaper curve as time tends to infinity.

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4

Li, Pengcheng, and Donghe Pei. "Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space." Mathematics 9, no. 22 (2021): 2939. http://dx.doi.org/10.3390/math9222939.

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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 spacelike curve. However, if the spacelike curve is singular, then we cannot use the usual tools and methods to study related issues. To solve these problems, we show the definition of spacelike framed curves in Minkowski 3-space, whose original curves may contain singularities. Then, the singularities of the nullcone fronts are characterized by usin

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5

Almoneef, Areej A., and Rashad A. Abdel-Baky. "Singularity Properties of Spacelike Circular Surfaces." Symmetry 15, no. 4 (2023): 842. http://dx.doi.org/10.3390/sym15040842.

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The aim of the paper is on spacelike circular surfaces and singularities in Minkowski 3-space E13. A spacelike circular surface with a stationary radius can be swept out by movable a Lorentzian circle following a non-null curve, which acts as the spine curve. In the study, we have represented spacelike circular surface and have furnished its geometric properties such as singularities and striction curves contrasting with those of ruled surfaces. Subsequently, a new type of spacelike circular surface was distinguished and named as the spacelike roller coaster surface. Meanwhile, we support the

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6

ERGÜN, EVREN. "CHARACTERIZATION OF THE NATURAL LIFT ACCORDING TO THE CURVE." Journal of Science and Arts 24, no. 4 (2023): 827–38. http://dx.doi.org/10.46939/j.sci.arts-23.4-a02.

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In this article we have characterized the natural lift curve of a curve in 〖IR〗^3 according to its torsion and curvature. The natural lift curve of a timelike curve in 〖IR〗_1^3 is characterized by the torsion and curvature of the natural lift curve, taking into account whether it is a spacelike curve with a timelike binormal or a spacelike curve with a space binormal. The natural lift curve of a spacelike curve with a timelike binormal in 〖IR〗_1^3 is characterized according to the torsion and curvature of the natural lift curve, considering that the natural lift curve is a spacelike curve with

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7

M. Bilici and T.A. Ahmad. "On the natural lift curves for the involute spherical indicatrices in Minkowski 3-space." Malaya Journal of Matematik 5, no. 02 (2017): 407–15. http://dx.doi.org/10.26637/mjm502/019.

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This study presents some new conditions of being integral curve for the geodesic spray of the natural lift curves of the spherical indicatrices of the involutes of a given spacelike curve with a timelike binormal in Minkowski 3-space. Furthermore, depending on these conditions some interesting results about the spacelike evolute curve were obtained. Additionally we illustrate an example of our main results.

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8

Kusak Samanci, Hatce, and Ayhan Yildiz. "The slant helices according to N-Bishop frame of the spacelike curve with spacelike principal normal in Minkowski 3-space." Asian-European Journal of Mathematics 12, no. 06 (2019): 2040009. http://dx.doi.org/10.1142/s1793557120400094.

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If the principal normal vector field of a curve makes a constant angle with constant direction, this curve is called as slant helix. In this paper, a slant helix is defined according to N-Bishop frame of the spacelike curve with a spacelike principal normal. Some characterizations of the slant helices are obtained according to spacelike curve N-Bishop frame with a spacelike principal normal, benefiting from the definition of the slant helices.

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9

Solouma, E. M., M. M. Wageeda, M. A. Soliman, and M. Bary. "Geometric Properties of Special Spacelike Curves in Three-Dimension Minkowski Space-Time." Modern Applied Science 14, no. 2 (2020): 11. http://dx.doi.org/10.5539/mas.v14n2p11.

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In this paper, we introduce a special spacelike Smarandache curves &nbsp;reference to the Bishop frame of a regular spacelike curve &nbsp;in Minkowski 3-space . From that point, we investigate the Frenet invariants of a special case in &nbsp;and we obtain some properties of these curves when the base curve &nbsp;is contained in a plane. Lastly, we shall give two examples to illustrate these curves.

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10

Doğan, Fatih, and Yusuf Yaylı. "Isophote curves on spacelike surfaces in Lorentz–Minkowski space." Asian-European Journal of Mathematics 14, no. 10 (2021): 2150180. http://dx.doi.org/10.1142/s1793557121501801.

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An isophote curve consists of a locus of surface points whose normal vectors make a constant angle with a fixed vector (the axis). In this paper, we define an isophote curve on a spacelike surface in Lorentz–Minkowski space [Formula: see text] and then find its axis as timelike and spacelike vectors via the Darboux frame. Besides, we give some relations between isophote curves and special curves on surfaces such as geodesic curves, asymptotic curves or lines of curvature.

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Book chapters on the topic "Spacelike curve"

1

Güler, Erhan, and Ömer Kı̇şı̇. "Maximal Rotational Hypersurfaces Having Spacelike Axis, Spacelike Profile Curve in Minkowski Geometry." In Trends in Mathematics. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-19082-7_1.

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"A study on spacelike rectifying curves in Minkowski 3-space." In TBILISI - MATHEMATICS. Sciendo, 2020. http://dx.doi.org/10.2478/9788395793882-002.

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Conference papers on the topic "Spacelike curve"

1

"ADAPTED FRAME AND DARBOUX TYPE VECTOR OF SPACELIKE FRAMED CURVES." In 4th International Conference on Engineering and Applied Natural Sciences ICEANS 2023. All Sciences Academy, 2023. http://dx.doi.org/10.59287/as-proceedings.352.

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