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Mathematics 2019, 7(1), 110; https://doi.org/10.3390/math7010110

The Characterization of Affine Symplectic Curves in ℝ4

Department of Mathematics, Faculty of Science, Firat University, 23119 Elazığ, Turkey
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Received: 29 November 2018 / Revised: 16 January 2019 / Accepted: 18 January 2019 / Published: 21 January 2019
(This article belongs to the Special Issue Differential Geometry)
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Abstract

Symplectic geometry arises as the natural geometry of phase-space in the equations of classical mechanics. In this study, we obtain new characterizations of regular symplectic curves with respect to the Frenet frame in four-dimensional symplectic space. We also give the characterizations of the symplectic circular helices as the third- and fourth-order differential equations involving the symplectic curvatures. View Full-Text
Keywords: symplectic curves; circular helices; symplectic curvatures; Frenet frame symplectic curves; circular helices; symplectic curvatures; Frenet frame
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Çiçek Çetin, E.; Bektaş, M. The Characterization of Affine Symplectic Curves in ℝ4. Mathematics 2019, 7, 110.

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