OAI/GroupTheory/PolycyclicRecognition/Algebra/DixmierRegularityFromTopology.lean
2 declarations, 0 contain sorry, 0 declared as axioms
Smooth regularity from the topological Dixmier chart
Given a global exponential homeomorphism, the faithful triangular representation and the injective differential of its exponential prove smoothness of the chart and its inverse, as needed for metric comparison.
- theorem
OAI.PolycyclicRecognition.dixmier_exponential_smooth_chartline 27 - theorem
OAI.PolycyclicRecognition.dixmierExponentialDiffeomorphismInput_of_topologicalline 94Source documentation
The smooth regularity needed by the metric application is derived; only a global topological exponential chart is a hypothesis.
theorem dixmierExponentialDiffeomorphismInput_of_topological (dixmier : DixmierExponentialInput (E := E) (G := G)) : …