OAI/Geometry/SurfaceImmersion/Atlas/PhaseMetricRead.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

The metric and intrinsic Gauss expression in phase coordinates are fixed by the prescribed global metric, independently of its isometric realization.

  1. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.phaseMetricRead line 22
  2. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.phaseMetricRead_smooth line 27
  3. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.phaseMetricRead_isometry line 32
  4. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.phaseMetricRead_isometry_germ line 48
  5. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.phaseGauss_isometry line 60