OAI/Geometry/IsometricImmersion/Calculus/HessianCommutator.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.SmoothLocal.Geometry.HessianCalculus.coordPartial_add_at line 17
  2. theorem OAI.SmoothLocal.Geometry.HessianCalculus.coordPartial_sub_at line 22
  3. theorem OAI.SmoothLocal.Geometry.HessianCalculus.coordPartial_mul_at line 27
  4. theorem OAI.SmoothLocal.Geometry.HessianCalculus.coordPartial_sum_two line 33
  5. theorem OAI.SmoothLocal.Geometry.metric_coeff_symm line 43
  6. theorem OAI.SmoothLocal.Geometry.metric_coeff_partial_symm line 47
  7. theorem OAI.SmoothLocal.Geometry.christoffel_lower_symm line 56
  8. theorem OAI.SmoothLocal.Geometry.covHessian_symm line 66
  9. theorem OAI.SmoothLocal.Geometry.coordPartial_covHessian line 76
  10. def OAI.SmoothLocal.Geometry.covDerivHessian line 107
  11. theorem OAI.SmoothLocal.Geometry.covHessian_commutator line 113