OAI/Geometry/SurfaceImmersion/Atlas/IndependentPhaseProjections.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Independent linear phase parameters give open surjective projections. This transfers the elementary nonparallel-covector condition to any finite family of independently perturbed phases.

  1. def OAI.ClosedSurfaceR4.PhaseGeometry.phasePairProjection line 13
  2. lemma OAI.ClosedSurfaceR4.PhaseGeometry.phasePairProjection_surjective line 17
  3. lemma OAI.ClosedSurfaceR4.PhaseGeometry.phaseProjection_surjective line 26
  4. lemma OAI.ClosedSurfaceR4.PhaseGeometry.shifted_covectorDet_open_dense line 31
  5. lemma OAI.ClosedSurfaceR4.PhaseGeometry.independent_covectorDet_open_dense line 44