OAI/Geometry/SurfaceImmersion/Atlas/SupportedAtlasDifferential.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

Supported restoration commutes with all local derivatives, including its actual manifold differential, and preserves the original atlas support.

  1. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.restore_plane_tsupport line 18
  2. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.restore_plane_mfderiv line 35
  3. lemma OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.restore_plane_coordinate_jet line 65