OAI/Geometry/SurfaceImmersion/Whitney/HomotopyCollarDerivative.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

The exact derivative of a collar whose transverse vector follows a prescribed smooth homotopy; only u and u times the cutoff derivative enter as perturbation parameters.

  1. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.homotopyCollar line 16
  2. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.homotopyCollarJet line 19
  3. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.homotopyCollar_smooth line 25
  4. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.homotopyCollarJet_continuous line 32
  5. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.homotopyCollar_fderiv line 41