Generic Work
Smoothness of subRiemannian isometries
PublicDownloadable Content
open in viewerThis article appeared in the American Journal of Mathematics, Volume 138, Issue 5, 2016, pages 1439-1454, Copyright 2016, Johns Hopkins University Press.
We show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular subRiemannian manifold is a finite-dimensional Lie group of smooth transformations. The proof is based on a new PDE argument, in the spirit of harmonic coordinates, establishing that in an arbitrary subRiemannian manifold there exists an open dense subset where all isometries are smooth.
- Creator
- Date created
- 10/1/16
- Resource type
- Extent
- Source
- Rights statement
- Last modified
- 2020-09-21
Relations
- In Collection:
Items
Items
Thumbnail | Title | Visibility | Embargo Release Date | Actions |
---|---|---|---|---|
Smoothness_of_subRiemannian_isometries.pdf | Public | Download |
Permanent link to this page: https://digital.wpi.edu/show/8049g746d