OAI/GroupTheory/PolycyclicRecognition/Geometry/ControlledContraction.lean
3 declarations, 0 contain sorry, 0 declared as axioms
Uniform contractions about arbitrary centers
- structure
OAI.PolycyclicRecognition.ControlledContractionline 18Source documentation
The quantitative contraction data used by the interpolation algorithm. It is constructed from coordinates below, rather than assumed to supply a quasi-isometry representative.
structure ControlledContraction where …
- theorem
OAI.PolycyclicRecognition.ControlledContraction.dist_center_leline 32 - def
OAI.PolycyclicRecognition.ControlledContraction.ofChartline 48Source documentation
Left translation of radial contraction makes the same constants work about every center of a left-invariant metric.
def ofChart (φ : E ≃ₜ G) (hφ : φ 0 = 1) (hf : LocallyLipschitz φ) (hb : LocallyLipschitz φ.symm) : ControlledContraction G where …