# Coordinates Adapted to Vector Fields: Canonical Coordinates

@article{Stovall2017CoordinatesAT, title={Coordinates Adapted to Vector Fields: Canonical Coordinates}, author={Betsy Stovall and Brian Street}, journal={Geometric and Functional Analysis}, year={2017}, volume={28}, pages={1780-1862} }

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

#### Citations

##### Publications citing this paper.

SHOWING 1-6 OF 6 CITATIONS

## Coordinates Adapted to Vector Fields II: Sharp Results

VIEW 10 EXCERPTS

CITES BACKGROUND, RESULTS & METHODS

HIGHLY INFLUENCED

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 19 REFERENCES