The Notes on Slant Helices According to Equiform Frame on Symplectic Space

Year 2024, , 1241 - 1245, 15.11.2024

Esra Çiçek Çetin

https://doi.org/10.34248/bsengineering.1499614

Abstract

In this paper, first of all, we define basic definitions, some characterizations and theorems of symplectic space we calculated equiform frame in 4-dimensional symplectic space. Then, we obtain Frenet vectors and curvatures of a symplectic curve due to equiform frame. We have dealed with the properties of k-type slant helix according to equiform frame. It is seen that there exist k-type slant helices for all cases. In addition, we express some characterizations for k-type slant helix according to equiform frame geometry in symplectic regular curves. Finally, we give an example about symplectic space on graphics with symplectic frame on 4-dimensional symplectic space.

Keywords

Frenet vectors, Slant helix, Equiform frame

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