OAI/Geometry/IsometricImmersion/Darboux/CurvaturePrincipalPart.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.SmoothLocal.Geometry.lowerChristoffelDerivativeJet line 13
  2. def OAI.SmoothLocal.Geometry.curvatureLowerJet line 17
  3. def OAI.SmoothLocal.Geometry.metricFirstJet line 23
  4. def OAI.SmoothLocal.Geometry.curvatureLowerTerm line 26
  5. theorem OAI.SmoothLocal.Geometry.metric_inverse_first_row_contraction line 29
  6. theorem OAI.SmoothLocal.Geometry.curvatureJet_density_raw line 44
  7. theorem OAI.SmoothLocal.Geometry.metric_coeff_second_partial_symm line 58
  8. theorem OAI.SmoothLocal.Geometry.gaussianCurvature_density_principal_part line 69
  9. theorem OAI.SmoothLocal.Geometry.metricMatrix_inverse_contDiffOn line 92
  10. theorem OAI.SmoothLocal.Geometry.inverseDerivativeJet_contDiffOn line 107
  11. theorem OAI.SmoothLocal.Geometry.christoffelJet_contDiffOn line 119
  12. theorem OAI.SmoothLocal.Geometry.lowerChristoffelDerivativeJet_contDiffOn line 131
  13. theorem OAI.SmoothLocal.Geometry.curvatureLowerJet_contDiffOn line 144
  14. theorem OAI.SmoothLocal.Geometry.curvatureLowerTerm_contDiffOn line 166