JOURNAL ARTICLE

The Darboux trihedrons of timelike surfaces in the Lorentzian 3-space.

  • Published In: International Journal of Geometric Methods in Modern Physics, 2023, v. 20, n. 2. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Li, Yanlin; Mazlum, Sümeyye Gür; Şenyurt, Süleyman 3 of 3

Abstract

The parameter curves (c 1) and (c 2) intersecting under the angle on a timelike surface and any curve (c) passing through the same point with these curves have six different cases according to their causal characters. In this study, the Darboux trihedrons of these three curves and the Darboux instantaneous rotation vectors of these trihedrons are separately calculated for each of these six cases, and the relationships between these vectors are given. In addition, some theorems and results have been obtained on this surface. Besides, the special cases where the parameter curves (c 1) and (c 2) intersect perpendicularly are examined and these cases are compared with previous studies. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Geometric Methods in Modern Physics. 2023/02, Vol. 20, Issue 2, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2023
  • ISSN:0219-8878
  • DOI:10.1142/S0219887823500305
  • Accession Number:161723878
  • Copyright Statement:Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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