OAI/Geometry/SurfaceImmersion/Whitney/VaryingFramedCurveTube.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

A smooth transverse field gives an actual target tube whose central coordinate plane is exactly the ruled surface.

  1. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.varyingFramedCurveTube line 14
  2. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.varyingFrameCross_smooth line 17
  3. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.varyingFramedCurveTube_smooth line 25
  4. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.varyingFramedCurveTube_fderiv line 33
  5. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.varyingFramedCurveTube_regular_axis line 54
  6. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.varyingFramedCurveTube_zero_normal line 61