OAI/Geometry/SurfaceImmersion/Whitney/SurfacePairDerivative.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Intrinsic double-point transversality and its actual coordinate representatives. The derivative is defined on the two tangent planes.

  1. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.surfacePairDerivative line 16
  2. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.chart_germ_mfderiv line 21
  3. theorem OAI.ClosedSurfaceR4.FiniteOrderSmoothing.surface_pair_coordinate_regular_iff line 34