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The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to: Random dynamical systems Geometry and physics Dynamical systems with hyperbolic behaviour Real and complex geometry Ergodic theory Distance geometry Topological dynamics Global differential geometry Infinite-dimensional Hamiltonian systems Symplectic geometry, contact geometry The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Chief Editor’s discretion.

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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:
02 Jan 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

Subject Classifications

31B3058E20

References

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