KnowraSymplectic manifoldLinked fromLinked fromThe 6 pages that link to Symplectic manifold, each with the reason it gives.All 6Broader topic 2Related 1Narrower topic 2Compared with 1Hamiltonian mechanicsRelated: Modern geometry recasts Hamiltonian mechanics on these spaces.Riemannian manifoldCompared with: It encodes oriented area and Hamiltonian dynamics, not lengths or angles.ManifoldBroader topic: Symplectic structure captures the geometry underlying classical Hamiltonian mechanics.Liouville–Arnold theoremNarrower topic: Hamiltonian systems and their canonical coordinates are defined on symplectic manifolds.Differentiable manifoldBroader topic: It is the geometric setting for classical Hamiltonian mechanics.Non-squeezing theoremNarrower topic: The theorem concerns embeddings between regions of this geometric setting.