OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanMetricChartShift.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Actual small-distance lifts preserve a common Cartan chart domain
- theorem
OAI.PolycyclicRecognition.CartanWordModel.exists_small_metric_chart_shiftline 43Source documentation
A sufficiently small fraction of the ambient scale admits a factor lift whose inverse Cartan translation carries one fixed coordinate ball into the required larger ball, uniformly in both nearby scales.
theorem exists_small_metric_chart_shift (hExp : IsGroupExponential ExpG) (realize : ExponentialLinearRealizationInput (EG := EG) (G := G)) …Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput