A Monster Tower Approach to Goursat Multi-Flags
Differential Geometry
2011-07-22 v1
Abstract
We consider here the problem of classifying orbits of an action of the dif- feomorphism group of 3-space on a tower of fibrations with P2-fibers that generalize the Monster Tower due to Montgomery and Zhitomirskii. As a corollary we give the first steps towards the problem of classifying Goursat 2-flags of small length. In short, we classify the orbits within the first four levels of the Monster Tower and show that there is a total of 34 orbits at the fourth level in the tower.
Cite
@article{arxiv.1107.4145,
title = {A Monster Tower Approach to Goursat Multi-Flags},
author = {Alex L. Castro and Wyatt C. Howard},
journal= {arXiv preprint arXiv:1107.4145},
year = {2011}
}
Comments
Documents has 30 pages, and it contains 7 figures. We have also included two appendices detailing some computations which appeared in the main text