Relevant bibliographies by topics / Dual Lorentzian space

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Academic literature on the topic 'Dual Lorentzian space'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Dual Lorentzian space"

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Ayylldlz, Nihat, A. Ceylan Çöken, and Ahmet Yücesan. "A CHARACTERIZATION OF DUAL LORENTZIAN SPHERICAL CURVES IN THE DUAL LORENTZIAN SPACE." Taiwanese Journal of Mathematics 11, no. 4 (2007): 999–1018. http://dx.doi.org/10.11650/twjm/1500404798.

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Abdel-Baky, Rashad A., and Fatemah Mofarreh. "On an Explicit Characterization of Spherical Curves in Dual Lorentzian 3-Space D 1 3." Mathematical Problems in Engineering 2022 (June 25, 2022): 1–9. http://dx.doi.org/10.1155/2022/3044305.

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In this study, we developed a mathematical framework for studying spherical and null curves in dual Lorentzian 3-space D 1 3 . Considering the causal character of the dual curve, sufficient and necessary conditions for spacelike curves to be dual Lorentzian spherical were given. Also, new sufficient and necessary conditions for non-null curves to be hyperbolic dual spherical were presented. Then, an insight on curves with null-principal normal is reported.
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Gürbüz, Nevin, and Ali Görgülü. "On dual r-elastic line." International Journal of Geometric Methods in Modern Physics 11, no. 10 (2014): 1450079. http://dx.doi.org/10.1142/s0219887814500790.

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4

Saglam, Derya, Serhat Ozkan, and Duygu Ozdamar. "SLANT HELICES IN DUAL LORENTZIAN SPACE D3 1." Natural Science and Discovery 2, no. 1 (2016): 3. http://dx.doi.org/10.20863/nsd.04519.

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Almoneef, Areej A., and Rashad A. Abdel-Baky. "Timelike Constant Axis Ruled Surface Family in Minkowski 3-Space." Symmetry 16, no. 6 (2024): 677. http://dx.doi.org/10.3390/sym16060677.

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A timelike (TL) constant axis ruled surface in E13 (Minkowski 3-space), as determined by its ruling, forms a constant dual angle with its Disteli-axis (striction axis or curvature axis). In this article, we employ the symmetry through point geometry of Lorentzian dual curves and the line geometry of TL ruled surfaces. This produces the capability to expound a set of curvature functions that specify the local configurations of TL ruled surfaces. Then, we gain some new constant axis ruled surfaces in Lorentzian line space and their geometrical illustrations. Further, we also earn several organiz
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Ekinci, Zehra, and H. Hüseyin Uğurlu. "Disteli Diagram of Dual Hyperbolic Spherical Motion in Dual Lorentzian Space." Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 84, no. 3 (2014): 397–407. http://dx.doi.org/10.1007/s40010-014-0149-1.

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Machida, Yoshinori, and Hajime Sato. "Twistor spaces for real four-dimensional Lorentzian manifolds." Nagoya Mathematical Journal 134 (June 1994): 107–35. http://dx.doi.org/10.1017/s0027763000004888.

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It is R. Penrose who constructed the twistor theory which gives a correspondence between complex space-times and 3-dimensional complex manifolds called twistor spaces. He and his colleagues investigated conformally invariant equations (e.g. massless field equations, self-dual Yang-Mills equations) on the space-time by transforming them into objects in complex analytical geometry. See e.g. Penrose-Ward [P-W] or Ward-Wells [W-W]. After that, Atiyah-Hitchin-Singer ([A-H-S], cf. [Fr]) constructed the twistor spaces corresponding to real 4-dimensional Riemannian manifolds. Their construction as wel
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Ozbey, Emine, and Mehmet Oral. "A STUDY ON RECTIFYING CURVES IN THE DUAL LORENTZIAN SPACE." Bulletin of the Korean Mathematical Society 46, no. 5 (2009): 967–78. http://dx.doi.org/10.4134/bkms.2009.46.5.967.

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9

Abdel-Baky, Rashad A. "Time-like line congruence in the dual Lorentzian 3-space 𝔻13". International Journal of Geometric Methods in Modern Physics 16, № 08 (2019): 1950126. http://dx.doi.org/10.1142/s0219887819501263.

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In this paper, we introduce a time-like line congruence which has the parameter ruled surfaces as principal ruled surfaces. Then we extend several well-known formulae of line congruence in the Euclidean 3-space to the Minkowski 3-space. Meanwhile, we report some geometric descriptions of these formulae. Finally, an example of application is introduced and described in detail.
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10

ABALI, Bahar, and Ahmet YÜCESAN. "Associated curves of a Frenet curve in the dual Lorentzian space." Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 71, no. 1 (2022): 285–304. http://dx.doi.org/10.31801/cfsuasmas.877170.

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Book chapters on the topic "Dual Lorentzian space"

1

Atasoy, Ali. "Quaternion-Based Analysis of Line-Symmetric Motions in Lorentzian Space." In Fen Bilimleri ve Matematik Üzerine Araştırmalar. Özgür Yayınları, 2024. http://dx.doi.org/10.58830/ozgur.pub430.c1903.

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In the realm of geometric algebra and robotics, understanding the mathematical structures that describe motion is paramount. In Euclidean space, dual quaternions have emerged as a powerful tool for representing rigid body motions, encapsulating both rotation and translation in a compact, efficient manner. This elegance extends into the Lorentzian space, where dual split quaternions serve a similar role, adapting to the unique geometric properties of spacetime. This paper delves into the theory and application of dual split quaternions in representing line symmetric motions within Lorentz space
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