OAI/Geometry/SurfaceImmersion/Correction/CoordinatePolynomialRealization.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

The coordinate operator used in the finite parametrix really is the linearization of the polynomial perturbation on real oscillatory fields.

  1. def OAI.ClosedSurfaceR4.JetPolynomial.Perturbation.coordinateRealLinearized line 15

    Source documentation

    Polynomial first variation in the product coordinates of the metric solver.

    def coordinateRealLinearized {n : ℕ} (P : Fin 3 → Fin n → Expression) (ε : ℝ)
        (G : Base → Space) (X : RealModes.RField 4) (t : ℝ) : SmallModes.Base → Fin 3 → ℝ :=
    …

    Mentions: OAI.ClosedSurfaceR4.JetPolynomial.Expression, OAI.ClosedSurfaceR4.JetPolynomial.Base, OAI.ClosedSurfaceR4.JetPolynomial.Space, OAI.ClosedSurfaceR4.RealModes.RField, OAI.ClosedSurfaceR4.SmallModes.Base

  2. lemma OAI.ClosedSurfaceR4.JetPolynomial.Perturbation.coordinatePolynomialOperator_realization line 19