OAI/Analysis/CircleDomains/Sobolev/SmoothSphereEquivalence.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

Smooth equivalences on sphere regions

Both directions and their actual inverse identities are retained, so a coordinate can be transported by composing with the constructed inverse.

  1. structure OAI.CircleDomainRigidity.IsSmoothSphereEquivalence line 19
  2. theorem OAI.CircleDomainRigidity.IsSmoothSphereEquivalence.bijOn line 27
  3. theorem OAI.CircleDomainRigidity.IsSmoothSphereEquivalence.symm line 36
  4. theorem OAI.CircleDomainRigidity.IsSmoothSphereEquivalence.trans line 41
  5. theorem OAI.CircleDomainRigidity.IsConformalEquivalence.exists_smooth_inverse line 54
  6. theorem OAI.CircleDomainRigidity.smoothSphereEquivalence_pointToInfinity line 62