Next Article in Journal
Extension of Extragradient Techniques for Variational Inequalities
Previous Article in Journal
The Kumon Method: Its Importance in the Improvement on the Teaching and Learning of Mathematics from the First Levels of Early Childhood and Primary Education
Previous Article in Special Issue
Completness of Statistical Structures
Article Menu
Issue 1 (January) cover image

Export Article

Open AccessArticle
Mathematics 2019, 7(1), 110;

The Characterization of Affine Symplectic Curves in ℝ4

Department of Mathematics, Faculty of Science, Firat University, 23119 Elazığ, Turkey
Author to whom correspondence should be addressed.
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)
Full-Text   |   PDF [242 KB, uploaded 24 January 2019]


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).

Share & Cite This Article

MDPI and ACS Style

Çiçek Çetin, E.; Bektaş, M. The Characterization of Affine Symplectic Curves in ℝ4. Mathematics 2019, 7, 110.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top