OAI/Geometry/NearbyLagrangian/HamiltonianCharts.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

Hamiltonian equations and uniqueness in smooth open charts.

  1. lemma OAI.NearbyLagrangian.Transport.symplecticGradient_unique line 17
  2. lemma OAI.NearbyLagrangian.Transport.canonical_hamiltonian_hasDerivWithinAt line 32
  3. lemma OAI.NearbyLagrangian.Transport.closedSlab_hasDerivWithinAt_right line 45
  4. theorem OAI.NearbyLagrangian.Transport.canonical_hamiltonian_curves_unique line 53
  5. lemma OAI.NearbyLagrangian.diffeomorph_mfderiv_inverse line 91
  6. theorem OAI.NearbyLagrangian.hamiltonian_equation_diffeomorph line 100
  7. lemma OAI.NearbyLagrangian.Transport.mfderiv_open_inclusion line 145
  8. lemma OAI.NearbyLagrangian.Transport.mfderiv_open_restriction line 153
  9. lemma OAI.NearbyLagrangian.Transport.fderivWithin_open_curve line 163
  10. theorem OAI.NearbyLagrangian.Transport.hamiltonian_equation_open_chart line 181
  11. theorem OAI.NearbyLagrangian.Transport.open_chart_hamiltonian_curve_unique line 211