Osculating Curves in 4-dimensi̇onal Symplectic Space

Abstract

In the present work, we have dealed with the properties of osculating curves in symplectic space. In addition to this, we define  osculating curves of a given Frenet curve by using position vector of 4-dimensional symplectic space. Then we introduce the first kind and the second kind osculating curves in symplectic space. Finally,  we give an example for osculating curves in symplectic space.