OAI/GroupTheory/PolycyclicRecognition/Geometry/CanonicalHeightContractionModel.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Canonical height and contraction in the published Riemannian metric
- theorem
OAI.PolycyclicRecognition.exists_canonical_height_model_with_controlled_contractionline 19Source 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