Timelike Surface Couple with Bertrand Couple as Joint Geodesic Curves in Minkowski 3-Space

Autor:	Fatemah Mofarreh
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Bertrand couple isoparametric timelike ruled surface Mathematics QA1-939
Zdroj:	Symmetry, Vol 16, Iss 6, p 732 (2024)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym16060732
Popis:	A curve on a surface is a geodesic curve if its principal normal vector is anywhere aligned with the surface normal. Using the Serret–Frenet frame, a timelike surface couple (TLSC) with the symmetry of a Bertrand couple (BC) can be specified in terms of linear combinations of the components of the local frames in Minkowski 3-space E13. With these parametric representations, the necessary and sufficient conditions for the specified BC are derived to be the geodesic curves defining these surfaces. Afterward, the definition of a TL ruled surface (RS) is also provided. Furthermore, the application of the method to some significant models is given.
Databáze:	Directory of Open Access Journals
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