Privileged Coordinates and Nilpotent Approximation for Carnot Manifolds, II. Carnot Coordinates

  title={Privileged Coordinates and Nilpotent Approximation for Carnot Manifolds, II. Carnot Coordinates},
  author={Woocheol Choi and Rapha{\"e}l Ponge},
  journal={Journal of Dynamical and Control Systems},
  • Woocheol Choi, Raphaël Ponge
  • Published 2017
  • Mathematics
  • Journal of Dynamical and Control Systems
  • This paper is a sequel of Choi and Ponge (J Dyn Control Syst 25:109–157, 2019) and deals with privileged coordinates and nilpotent approximation of Carnot manifolds. By a Carnot manifold, it is meant a manifold equipped with a filtration by subbundles of the tangent bundle which is compatible with the Lie bracket of vector fields. In this paper, we single out a special class of privileged coordinates in which the nilpotent approximation at a given point of a Carnot manifold is given by its… CONTINUE READING
    5 Citations
    On the deformation groupoid of the inhomogeneous pseudo-differential Calculus
    • 5
    • Highly Influenced
    • PDF
    Differential Geometry of Weightings.
    • PDF


    Tangent Maps and Tangent Groupoid for Carnot Manifolds
    • 8
    • PDF
    Intrinsic nilpotent approximation
    • 33
    • Highly Influential
    The tangent groupoid of a Heisenberg manifold
    • 27
    • PDF
    The tangent grupoid of a Heisenberg manifold
    • 22
    • Highly Influential
    • PDF
    Rigid Carnot Algebras: A Classification
    • 14
    • PDF
    Contact Projective Structures
    • 29
    • PDF
    Fat bundles and symplectic manifolds
    • 98