Example image of eyePlorer eyePlorer map for 'Hamiltonian vector field': Mathematics Physics Symplectic manifold Vector field Classical mechanics Hamiltonian mechanics William Rowan Hamilton Integral curve Canonical transformation Diffeomorphism Flow (mathematics) Symplectomorphism Poisson manifold Lie bracket Poisson bracket Cotangent bundle Linear map Symplectic vector space Tangent bundle Derivative One-form Canonical coordinates Conservation of energy Noether's theorem Antisymmetric Jacobi identity Kernel (matrix) Lie algebra Lie derivative Weinstein conjecture Closed geodesic Hamiltonian system Lee Hwa Chung theorem Symplectic vector field Symplectic cut Pseudoholomorphic curve Poisson algebra Geometric quantization Tautological one-form Lagrangian Grassmannian Analytical mechanics Geodesics as Hamiltonian flows Critical point (mathematics) Liouville's theorem (Hamiltonian) Hamiltonian Vector (mathematics and physics) Statistical ensemble (mathematical physics) Supermanifold Geodesic Microcanonical ensemble