OAI/Geometry/SurfaceImmersion/Atlas/ParabolicPhaseChart.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

An explicit phase chart on an entire half-plane. This supplies one chart on a disk uniformly over nearby linear phase parameters.

  1. def OAI.ClosedSurfaceR4.PhaseGeometry.parabolicPhaseMap line 13
  2. def OAI.ClosedSurfaceR4.PhaseGeometry.parabolicDiscriminant line 16
  3. def OAI.ClosedSurfaceR4.PhaseGeometry.parabolicPhaseInverse line 19
  4. lemma OAI.ClosedSurfaceR4.PhaseGeometry.parabolicDiscriminant_map line 22
  5. lemma OAI.ClosedSurfaceR4.PhaseGeometry.parabolicPhaseMap_smooth line 27
  6. lemma OAI.ClosedSurfaceR4.PhaseGeometry.parabolicDiscriminant_smooth line 31
  7. lemma OAI.ClosedSurfaceR4.PhaseGeometry.parabolicPhaseInverse_source line 35
  8. lemma OAI.ClosedSurfaceR4.PhaseGeometry.parabolicPhaseInverse_left line 45
  9. lemma OAI.ClosedSurfaceR4.PhaseGeometry.parabolicPhaseInverse_right line 53
  10. lemma OAI.ClosedSurfaceR4.PhaseGeometry.parabolicPhaseInverse_smooth line 64
  11. def OAI.ClosedSurfaceR4.PhaseGeometry.parabolicPhaseChart line 70