Lecture 3. Poisson Structure

  1. 00:16Poisson Structure. Hamiltonian Dynamics
  2. 06:34Poisson Brackets of Functions: Definition and Properties
  3. 22:25Problem: Poisson Structure Defined by an Arbitrary Skew-Symmetric Matrix
  4. 24:56Definition: General Poisson Structure on a Manifold
  5. 35:14Theorem (Jacobi Identity for Bivectors)
  6. 58:39Poisson-Lie-Kirillov-Souriau Structure
  7. 01:09:14Symplectic Structure