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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Journal of Dynamical Systems and Geometric Theories
Open Access Article

On Inextensible flows of curves according to alternative moving frame

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pp. 15–27Vol. 15Issue 1January 2017DOI: 10.1080/1726037X.2017.1323416XML
Received:
12 Jan 2016
Accepted:
14 Mar 2016
Published Online:
12 Jun 2017
Article type:
Article
Language:
EN
Article no.:
1726037X.2017.1323416
Pages:
15–27

Abstract

In this paper, we investigate inextensible flows of curves according to alternative moving frame in Euclidean space 𝔼3. Using the Prenet frame of the given curve, we present partial differential equations. The concepts with the inextensible flows are analyzed by using alternative moving frame.

Keywords

Bonnet surfaceBinormal imagesFluid flow𝔼Partial differential equation

Subject Classifications

31B3058E20

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