OAI/Geometry/SurfaceImmersion/Primitive/CrossingInvariantScaling.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Both ordered crossing invariants scale by the positive product of squared changes in the two tangent directions.

  1. lemma OAI.ClosedSurfaceR4.GeometryPreservation.normalize_pos_smul line 12
  2. lemma OAI.ClosedSurfaceR4.GeometryPreservation.realSecondForm_smul_directions line 21
  3. lemma OAI.ClosedSurfaceR4.GeometryPreservation.gramDet_smul_directions line 29
  4. lemma OAI.ClosedSurfaceR4.GeometryPreservation.orderedCrossing_smul_directions line 34
  5. lemma OAI.ClosedSurfaceR4.GeometryPreservation.orderedCrossing_firstSlope line 44