OAI/Geometry/NearbyLagrangian/OpenCylinders.lean

GitHub source file

27 declarations, 0 contain sorry, 0 declared as axioms

Open cylinder coordinates and regular compact Hamiltonian extensions.

  1. def OAI.NearbyLagrangian.RadialExtension.radialInclusion line 22
  2. lemma OAI.NearbyLagrangian.RadialExtension.contMDiff_radialInclusion line 25
  3. lemma OAI.NearbyLagrangian.RadialExtension.mfderiv_radialInclusion line 29
  4. lemma OAI.NearbyLagrangian.RadialExtension.mfderiv_radial_restriction line 42
  5. lemma OAI.NearbyLagrangian.RadialExtension.mfderivWithin_radial_curve line 50
  6. theorem OAI.NearbyLagrangian.RadialExtension.central_open_product_hamiltonian_curve line 60
  7. theorem OAI.NearbyLagrangian.RadialExtension.hamiltonian_open_radial_trapping line 92
  8. lemma OAI.NearbyLagrangian.RadialExtension.contMDiff_cutoffHamiltonian line 138
  9. theorem OAI.NearbyLagrangian.RadialExtension.uniformCompactSupport_open_radial line 150
  10. def OAI.NearbyLagrangian.Transport.manifoldFlatHamiltonian line 178
  11. lemma OAI.NearbyLagrangian.Transport.contMDiff_flat_time line 181
  12. lemma OAI.NearbyLagrangian.Transport.contMDiff_manifoldFlatHamiltonian line 190
  13. lemma OAI.NearbyLagrangian.Transport.compactSupport_manifoldFlatHamiltonian line 200
  14. def OAI.NearbyLagrangian.Transport.timeOpen line 220
  15. def OAI.NearbyLagrangian.Transport.timeOpenDiffeomorph line 223
  16. def OAI.NearbyLagrangian.Transport.extendedFlatHamiltonian line 238
  17. lemma OAI.NearbyLagrangian.Transport.extendedFlatHamiltonian_apply line 241
  18. lemma OAI.NearbyLagrangian.Transport.extendedFlatHamiltonian_eq_zero line 245
  19. lemma OAI.NearbyLagrangian.Transport.compactSupport_extendedFlatHamiltonian line 252
  20. lemma OAI.NearbyLagrangian.Transport.contMDiff_extendedFlatHamiltonian line 260
  21. lemma OAI.NearbyLagrangian.Transport.uniformCompactSupport_extendedFlatHamiltonian line 271
  22. lemma OAI.NearbyLagrangian.RadialExtension.contMDiffOn_open_cutoffHamiltonian line 293
  23. lemma OAI.NearbyLagrangian.RadialExtension.uniformCompactSupport_open_radial_on line 317
  24. def OAI.NearbyLagrangian.RadialExtension.cylinderHamiltonian line 337
  25. lemma OAI.NearbyLagrangian.RadialExtension.cylinderHamiltonian_apply line 343
  26. lemma OAI.NearbyLagrangian.RadialExtension.contDiff_of_contMDiff_product line 353
  27. theorem OAI.NearbyLagrangian.RadialExtension.cylinderHamiltonian_regular line 359