Timelike W-Surfaces in Minkowski 3-Space â„ 13 and the Sinh-Gordon Equation

Nadia Alluhaibi, Rashad A. Abdel-Baky and Sheng Zhang

Journal of Applied Mathematics, 2022, vol. 2022, 1-10

Abstract: Let M and M∗ be two timelike surfaces in Minkowski 3-space ℠13. If there exists a spacelike (timelike) Darboux line congruence between each point of M and M∗, then the surfaces are timelike Weingarten surfaces. It turns out their Tschebyscheff angles are solutions of the Sinh-Gordon equation, and the surfaces are related to each other by Backlund’s transformation. Finally, a method to construct new timelike Weingarten surface has been found.

Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jam/2022/7998748.pdf (application/pdf)
http://downloads.hindawi.com/journals/jam/2022/7998748.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:7998748

DOI: 10.1155/2022/7998748

Access Statistics for this article

More articles in Journal of Applied Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().