OAI/Geometry/PrescribedRicci/KahlerCofactorDivergence.lean

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17 declarations, 0 contain sorry, 0 declared as axioms

Kahler Cofactor Divergence.

  1. abbrev OAI.Anticanonical.SourceSmooth.KaehlerMetric.coordinateVector line 15
  2. lemma OAI.Anticanonical.SourceSmooth.KaehlerMetric.pair_coordinate line 17
  3. lemma OAI.Anticanonical.SourceSmooth.KaehlerMetric.fundamentalForm_coordinate line 24
  4. lemma OAI.Anticanonical.SourceSmooth.KaehlerMetric.fundamentalForm_I_coordinate line 28
  5. lemma OAI.Anticanonical.SourceSmooth.KaehlerMetric.fundamentalForm_coordinate_I line 34
  6. lemma OAI.Anticanonical.SourceSmooth.KaehlerMetric.fundamentalForm_I_I line 40
  7. def OAI.Anticanonical.SourceSmooth.KaehlerMetric.fundamentalFormCLM line 47
  8. lemma OAI.Anticanonical.SourceSmooth.KaehlerMetric.fundamentalForm_fderiv line 57
  9. lemma OAI.Anticanonical.SourceSmooth.KaehlerMetric.derivative_closed line 66
  10. def OAI.Anticanonical.SourceSmooth.KaehlerMetric.conjugateTransposeCLM line 73
  11. lemma OAI.Anticanonical.SourceSmooth.KaehlerMetric.derivative_hermitian line 79
  12. def OAI.Anticanonical.SourceSmooth.KaehlerMetric.barDerivative line 95
  13. lemma OAI.Anticanonical.SourceSmooth.KaehlerMetric.barDerivative_symm line 100
  14. lemma OAI.Anticanonical.SourceSmooth.KaehlerMetric.barDerivative_comp line 130
  15. lemma OAI.Anticanonical.SourceSmooth.KaehlerMetric.sum_swap_outer_inner line 148
  16. lemma OAI.Anticanonical.SourceSmooth.KaehlerMetric.cofactor_cancellation line 158
  17. theorem OAI.Anticanonical.SourceSmooth.KaehlerMetric.weightedInverse_divergence line 174