OAI/Geometry/SurfaceImmersion/Atlas/NonlinearPhaseFrameMargins.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Quantitative Gram and transverse-normal denominators in nonlinear first-coordinate phase charts.

  1. lemma OAI.ClosedSurfaceR4.PhaseGeometry.inverse_chart_det_inv line 15
  2. lemma OAI.ClosedSurfaceR4.PhaseGeometry.realSecond_nonlinear_chart line 27
  3. theorem OAI.ClosedSurfaceR4.PhaseGeometry.inverse_gram_nonlinear_chart_bound line 48
  4. theorem OAI.ClosedSurfaceR4.PhaseGeometry.inverse_normal_nonlinear_chart_bound line 63