Parabolic (3,5,6)-distributions and Gl(2)-structures
Differential Geometry
2010-12-07 v2
Abstract
We consider rank 3 distributions with growth vector (3,5,6). The class of such distributions splits into three subclasses: parabolic, hyperbolic and elliptic. In the present paper, we deal with the parabolic case. We provide a classification of such distributions and exhibit connections between them and Gl(2)-structures. We prove that any Gl(2)-structure on three and four dimensional manifold can be interpreted as a parabolic (3,5,6)-distribution.
Cite
@article{arxiv.1012.0710,
title = {Parabolic (3,5,6)-distributions and Gl(2)-structures},
author = {Wojciech Krynski},
journal= {arXiv preprint arXiv:1012.0710},
year = {2010}
}