OAI/MeasureTheory/Falconer/Estimates/QuadraticDifferential.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Differential of the quadratic-to-gnomonic coordinate change

The differential is a scalar multiple of the identity plus one radial rank-one term. These are actual derivatives of the coordinate map, not assumed Jacobian data.

  1. def OAI.Falconer.quadraticRadialFactor line 15
  2. def OAI.Falconer.quadraticRadialDerivative line 18
  3. theorem OAI.Falconer.radial_derivative_algebra line 21
  4. theorem OAI.Falconer.radial_eigenvalue_algebra line 27
  5. theorem OAI.Falconer.quadraticRadialFactor_hasDerivAt line 36
  6. def OAI.Falconer.quadraticCoordinateDifferential line 51
  7. theorem OAI.Falconer.quadraticToGnomonic_hasFDerivAt line 56
  8. theorem OAI.Falconer.quadratic_radial_eigenvalue line 68