nLab
symplectic connection

Contents

Definition

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

Applications

In deformation quantization

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

References

Created on May 11, 2013 at 00:08:22. See the history of this page for a list of all contributions to it.