OAI/Geometry/IsometricImmersion/Curvature/PrescribedCurvature.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.SmoothLocal.ODE.coordinatePoint_eta line 13
  2. theorem OAI.SmoothLocal.ODE.coordinatePoint_hasDerivAt_x line 17
  3. theorem OAI.SmoothLocal.ODE.globalPrescribedState_hasDerivAt line 23
  4. theorem OAI.SmoothLocal.ODE.globalPrescribedState_initial line 42
  5. theorem OAI.SmoothLocal.ODE.coordinateSlice_hasDerivAt_x line 50
  6. theorem OAI.SmoothLocal.ODE.prescribedFactor_firstPartial line 60
  7. theorem OAI.SmoothLocal.ODE.prescribedFactor_secondPartial line 73
  8. theorem OAI.SmoothLocal.ODE.prescribedFactor_initial line 93
  9. def OAI.SmoothLocal.ODE.prescribedCurvatureMetric line 106
  10. theorem OAI.SmoothLocal.ODE.prescribedCurvatureMetric_smoothPositiveOn line 108
  11. theorem OAI.SmoothLocal.ODE.prescribedCurvatureMetric_gaussianCurvature line 115