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

Authors : Esra Çiçek Çetin

Pages : 1241-1245

Doi:10.34248/bsengineering.1499614

View : 52 | Download : 57

Publication Date : 2024-11-15

Article Type : Research Paper

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