Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space

Abstract

It is well known that there exist characterizations for curve in Euclidean space.$\ $Also, a lot of authors extended this characterizations for Minkowski space and obtained very different results. In this paper, we introduce the geometric properties of Symplectic Curve in $% 4$-Dimensional Symplectic Space which given by \cite{7,10}. Later we obtained the conditions for Symplectic Curve to lie on some subspaces of $% 4$-Dimensional Symplectic Space and we give some characterizations and theorems for these curves.