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

W. M. Mahmoud | Zendy; Alaa Hassan Noreldeen | Zendy

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Inextensible 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 .

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