Coordinates Adapted to Vector Fields: Canonical Coordinates

  title={Coordinates Adapted to Vector Fields: Canonical Coordinates},
  author={Betsy Stovall and Brian Street},
  journal={Geometric and Functional Analysis},
  • Betsy Stovall, Brian Street
  • Published 2017
  • Mathematics
  • Given a finite collection of C1 vector fields on aC2 manifold which span the tangent space at every point, we consider the question of when there is locally a coordinate system in which these vector fields have a higher level of smoothness. For example, when is there a coordinate system in which the vector fields are smooth, or real analytic, or have Zygmund regularity of some finite order? We address this question in a quantitative way, which strengthens and generalizes previous works on the… CONTINUE READING

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv