OAI/GroupTheory/PolycyclicRecognition/Geometry/CanonicalHeightContractionModel.lean

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Canonical height and contraction in the published Riemannian metric

  1. theorem OAI.PolycyclicRecognition.exists_canonical_height_model_with_controlled_contraction line 19

    Source documentation

    Choose the Riemannian metric after fixing the triangular model, and construct its controlled exponential contraction from the two precisely stated published regularity inputs.

    theorem exists_canonical_height_model_with_controlled_contraction
        (ct : CornulierTesseraModelInput) (metric : GeodesicMetricExistenceInput)
        (riemannian : LieRiemannianMetricInput)
        (regular : ∀ R : SimplyConnectedSolvableLieModel,
          DixmierExponentialDiffeomorphismInput (E := R.modelSpace) (G := R.carrier))
    …

    Mentions: OAI.PolycyclicRecognition.CornulierTesseraModelInput, OAI.PolycyclicRecognition.GeodesicMetricExistenceInput, OAI.PolycyclicRecognition.LieRiemannianMetricInput, OAI.PolycyclicRecognition.SimplyConnectedSolvableLieModel, OAI.PolycyclicRecognition.DixmierExponentialDiffeomorphismInput