OAI/Geometry/SurfaceImmersion/Whitney/TwistedRuledCoordinates.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

An explicit immersed strip turning its transverse direction by a smooth angle, with the original longitudinal coordinate unchanged.

  1. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.twistedRuledCoordinates line 14
  2. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.twistedRuledDerivative line 17
  3. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.twistedRuledCoordinates_smooth line 23
  4. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.twistedRuledCoordinates_hasFDerivAt line 31
  5. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.twistedRuledDerivative_apply line 55
  6. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.twistedRuledCoordinates_immersion line 64
  7. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.twistedRuledCoordinates_axis line 87
  8. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.twistedRuledCoordinates_zero line 91