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

Year 2023, Volume: 16 Issue: 2, 577 - 593, 29.10.2023

Alperen Kızılay Atakan Tuğkan Yakut

https://doi.org/10.36890/iejg.1274663

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

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