OAI/Analysis/CircleDomains/Rigidity/RealBeltramiCoefficientReduction.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

Convert the actual conjugate Beltrami equation to a bounded standard coefficient after constructing its L2 solution. No nonvanishing assumption on the complex derivative is needed for this algebraic reduction.

  1. def OAI.CircleDomainRigidity.realBeltramiStandardCoefficient line 13
  2. lemma OAI.CircleDomainRigidity.realBeltramiStandardCoefficient_norm_le line 15
  3. lemma OAI.CircleDomainRigidity.realBeltramiStandardCoefficient_mul line 21
  4. lemma OAI.CircleDomainRigidity.realBeltramiStandardCoefficient_aeStronglyMeasurable line 27
  5. lemma OAI.CircleDomainRigidity.realBeltramiStandardCoefficient_zero line 33
  6. lemma OAI.CircleDomainRigidity.exists_compact_coefficient_representative line 37