OAI/Analysis/CircleDomains/Sobolev/PhysicalCoareaCoordinates.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

The physical Euclidean plane and complex plane carry the same area and length measures, and precomposition preserves differential norms.

  1. def OAI.CircleDomainRigidity.complexPlaneLinearIsometry line 14
  2. lemma OAI.CircleDomainRigidity.complexPlaneLinearIsometry_apply line 18
  3. lemma OAI.CircleDomainRigidity.physical_complex_hausdorff_preserving line 21
  4. lemma OAI.CircleDomainRigidity.complex_precomposition_fderiv_norm line 26