Hamiltonian | Hamiltonian (quantum mechanics) | Hamiltonian mechanics | Hamiltonian matrix | Regular isotopy | Molecular Hamiltonian | Liouville's theorem (Hamiltonian) | Hamiltonian system | Hamiltonian path problem | Ambient isotopy |
If the first Betti number of a connected symplectic manifold is zero, symplectic and Hamiltonian vector fields coincide, so the notions of Hamiltonian isotopy and symplectic isotopy of symplectomorphisms coincide.