The Characterization of Affine Symplectic Curves in ? 4

Esra Çiçek Çetin and Mehmet Bektaş
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Esra Çiçek Çetin: Department of Mathematics, Faculty of Science, Firat University, 23119 Elazığ, Turkey
Mehmet Bektaş: Department of Mathematics, Faculty of Science, Firat University, 23119 Elazığ, Turkey

Mathematics, 2019, vol. 7, issue 1, 1-8

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.

Keywords: symplectic curves; circular helices; symplectic curvatures; Frenet frame (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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