OAI/Geometry/SurfaceImmersion/Whitney/CrosscapAxisCoordinates.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Exact reconstruction of the two source branches from their scalar kernel-axis parameter in the actual crosscap chart.

  1. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SurfaceCrosscapCoordinates.axisCurve_coordinate line 15
  2. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SurfaceCrosscapCoordinates.axis_pair_coordinates line 27
  3. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SurfaceCrosscapCoordinates.axis_parameter_injective line 37