OAI/NumberTheory/CubicMoment/Theta/CubicThetaTangentEnergy.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

The squared differential norm is independent of the orthonormal tangent frame. This is the complex-valued Dirichlet energy, expressed as the sum of the real and imaginary dual norms.

  1. def OAI.CubicFirstMoment.cubicThetaTangentBasis line 14
  2. def OAI.CubicFirstMoment.cubicThetaTangentEnergy line 16
  3. lemma OAI.CubicFirstMoment.cubicThetaTangentEnergy_basis line 19
  4. lemma OAI.CubicFirstMoment.cubicThetaTangentEnergy_isometry line 30
  5. lemma OAI.CubicFirstMoment.cubicThetaTangentEnergy_real_smul line 38
  6. lemma OAI.CubicFirstMoment.cubicThetaTangentEnergy_complex_smul line 43
  7. lemma OAI.CubicFirstMoment.cubicThetaTangentEnergy_derivative line 48