Fedosov manifold
is a symplectic form, a non-degenerate closed exterior 2-form, on aIn other words, the symplectic form is parallel with respect to the connection, i.e., its covariant derivative vanishes.)Then choose a partition of unity (subordinate to the cover) and glue the local connections together to a global connection which still preserves the symplectic form.The famous result of Boris Vasilievich Fedosov gives a canonical deformation quantization of a Fedosov manifold.This differential geometry-related article is a stub.You can help Wikipedia by expanding it.This mathematical physics-related article is a stub.