An affine connection $\nabla$ on a symplectic manifold $(X,\omega)$ is a **symplectic connection** if the symplectic form is covariantly constant with respect to the connection, $\nabla \omega = 0$.

The second order term in the formal deformation quantization (see there) of a symplectic manifold is closely related to symplectic connections.

Created on May 11, 2013 at 00:05:35. See the history of this page for a list of all contributions to it.