Inextensible Flows of Spacelike Curves According to Equiform Frame in 4-dimensional Minkowski Space R41

Autor:	Alaa Hassan Noreldeen, W. M. Mahmoud
Rok vydání:	2021
Předmět:	General Relativity and Quantum Cosmology General Mathematics 010102 general mathematics 0103 physical sciences Mathematical analysis Minkowski space Frame (networking) Mathematics::Differential Geometry 0101 mathematics 010303 astronomy & astrophysics 01 natural sciences Mathematics
Zdroj:	WSEAS TRANSACTIONS ON MATHEMATICS. 19:683-698
ISSN:	2224-2880 1109-2769
DOI:	10.37394/23206.2020.19.75
Popis:	In this paper, we study inextensible flows of spacelike curves lying fully on a spacelike surface Ω according to equiform frame in 4-dimensional Minkowski space ℝ1 4 . We give necessary and sufficient conditions for this inextensible flows which are expressed as a partial differential equation involving the equiform curvature functions in 4-dimensional Minkowski space ℝ1 4 . Finally we give an application of inextensible flows of spacelike curves in ℝ1 4 .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e8e56f27e2a47b73a5fdde516873a4ee https://doi.org/10.37394/23206.2020.19.75 Zobrazit plný text záznamu