Local Symplectic Invariants for Curves

**Fecha de inicio**: 18/05/2011. **Fecha de fin**: 20/05/2011.

We consider curves in $\\Rset^{2n}$ endowed with the standard symplectic structure. We introduce the concept of symplectic arc length for curves. We construct an adapted symplectic Frenet frame and we define $2n-1$ local differential invariants that we call symplectic curvatures of the curve. > We prove that, up to a rigid symplectic motion of $\\Rset^{2n}$, there exists a unique curve with prescribed symplectic curvatures. We characterize the curves in $\\Rset^{4}$ with constant symplectic curvatures.