OAI/GroupTheory/PolycyclicRecognition/Geometry/ControlledContraction.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

Uniform contractions about arbitrary centers

  1. structure OAI.PolycyclicRecognition.ControlledContraction line 18

    Source 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
    …
  2. theorem OAI.PolycyclicRecognition.ControlledContraction.dist_center_le line 32
  3. def OAI.PolycyclicRecognition.ControlledContraction.ofChart line 48

    Source 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
    …

    Mentions: OAI.PolycyclicRecognition.ControlledContraction