OAI/Geometry/IsometricImmersion/Calculus/NormalDerivative.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.SmoothLocal.Geometry.normalField_derivative_inner_self line 14
  2. theorem OAI.SmoothLocal.Geometry.normalField_derivative_inner_tangent line 32
  3. theorem OAI.SmoothLocal.Geometry.coordPartial_normalField_eq_zero_of_secondFundamental_eq_zero line 57
  4. theorem OAI.SmoothLocal.Geometry.fderiv_normalField_eq_zero_of_secondFundamental_eq_zero line 77
  5. theorem OAI.SmoothLocal.Geometry.unitNormalField_derivative_inner_self line 95
  6. theorem OAI.SmoothLocal.Geometry.unitNormalField_derivative_inner_tangent line 102
  7. theorem OAI.SmoothLocal.Geometry.unitNormalField_fderiv_eq_zero_of_secondFundamental_eq_zero line 110