OAI/Geometry/SurfaceImmersion/Atlas/TimeCoordinateBlend.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

The actual nonlinear blend of two agreeing time coordinates has an invertible derivative when their transverse transition is positive.

  1. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.timeCoordinateBlend line 12
  2. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.timeCoordinateBlend_fderiv line 15
  3. theorem OAI.ClosedSurfaceR4.FiniteOrderSmoothing.timeCoordinateBlend_regular line 29