H\"ormander's condition for normal bundles on spaces of immersions
Differential Geometry
2015-11-19 v1
Abstract
Several representations of geometric shapes involve quotients of mapping spaces. The projection onto the quotient space defines two sub-bundles of the tangent bundle, called the horizontal and vertical bundle. We investigate in these notes the sub-Riemannian geometries of these bundles. In particular, we show for a selection of bundles which naturally occur in applications that they are either bracket generating or integrable.
Keywords
Cite
@article{arxiv.1511.05883,
title = {H\"ormander's condition for normal bundles on spaces of immersions},
author = {Martin Bauer and Philipp Harms},
journal= {arXiv preprint arXiv:1511.05883},
year = {2015}
}
Comments
4 pages. (2015). Proceedings of Math On The Rocks Shape Analysis Workshop in Grundsund. Zenodo