OAI/Geometry/SurfaceImmersion/Correction/AtlasPolynomialLinearized.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

The actual global polynomial linearization is assembled from the constructed local representatives, for every supported family.

  1. theorem OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.polynomial_linearized_representatives line 31
  2. def OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.PolynomialLinearRepresentation line 77

    Source documentation

    The local linearized operators act on the same global polynomial metric.

    def PolynomialLinearRepresentation {n : A.centers → ℕ} {m : ℕ}
    (P : ∀ j : A.centers, Fin 3 → Fin (n j) → Expression)
    (Q : A.centers → Fin 3 → Fin m → Expression) : Prop :=
…
  3. theorem OAI.ClosedSurfaceR4.FiniteOrderSmoothing.SmoothingAtlas.full_linearized_representatives line 88