A Monster Tower Approach to Goursat Multi-Flags

Alex L. Castro; Wyatt C. Howard

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arXiv · 1107.4145

A Monster Tower Approach to Goursat Multi-Flags

Alex L. Castro·Wyatt C. Howard

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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.

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Alex L. Castro, Wyatt C. Howard. 2011-07-21. A Monster Tower Approach to Goursat Multi-Flags. https://arxiv.org/abs/1107.4145

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