Inextensible flows of framed curves in 4-dimensional Euclidean space

Hülya Gün Bozok; Onur Talip Dostuoğlu

doi:10.32513/asetmj/193220082334

Abstract

In this paper, evolution equations of framed curves are investigated in 4-dimensional Euclidean space. Also, inextensible flows of these curves in 4-dimensional Euclidean space are researched. After that evolution equations for framed curvatures are obtained.

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Hülya Gün Bozok. Onur Talip Dostuoğlu. "Inextensible flows of framed curves in 4-dimensional Euclidean space." Adv. Studies: Euro-Tbilisi Math. J. 16 (4) 67 - 75, December 2023. https://doi.org/10.32513/asetmj/193220082334

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Received: 9 December 2022; Accepted: 14 May 2023; Published: December 2023

First available in Project Euclid: 3 January 2024

Digital Object Identifier: 10.32513/asetmj/193220082334

Subjects:

Primary: 53A04

Keywords: evolution equation , framed curve , inextensible flow

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