Symplectic manifold

This article describes an additional structure on a differential manifold
View other additional structures

Definition

A symplectic manifold is an almost symplectic manifold with the following additional condition: the 2-form defined by the sympelctic structure at each point, is a closed form.

Relation with other structures

Stronger structures

• Complex manifold

Weaker structures

• Almost symplectic manifold
• Oriented manifold