#
nLab

symplectic connection

### Context

#### Symplectic geometry

# Contents

## Definition

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, $\nabla \omega = 0$.

## Applications

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

## References