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

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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