Inextensible Flows of Space Curves According to a New Orthogonal Frame with Curvature in $\\mathbb{E}_{1}^{3}$

Authors : Alperen Kizilay, Atakan Tuğkan Yakut

Pages : 577-593

Doi:10.36890/iejg.1274663

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Publication Date : 2023-10-29

Article Type : Research Paper

Abstract :Using a new orthogonal frame with curvature in $E_1^3$ and we put forth a new general formulation for inextensible flows of space curves in this work. We demonstrate presufficient conditions and prove the necessary conditions for inextensible curve flow which is a partial differential equations (PDE) incorporating the curvatures and torsion.
Keywords : Inextensible flow, Frenet Serret frame, modified orthogonal frame, Minkowski 3 Space