Open AccessInextensible Flows of Spacelike Curves According to Equiform Frame in 4-dimensional Minkowski Space R41
Author(s) -
W. M. Mahmoud,
Alaa Hassan Noreldeen
Publication year - 2021
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2020.19.75
Subject(s) - minkowski space , mathematics , space (punctuation) , mathematical analysis , curvature , moving frame , partial differential equation , frame (networking) , frenet–serret formulas , geometry , philosophy , linguistics , computer science , telecommunications
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 .