A Monster Tower approach to Goursat multi-flags

作者:Castro Alex L; Howard Wyatt C*
来源:Differential Geometry and its Applications, 2012, 30(5): 405-427.
DOI:10.1016/j.difgeo.2012.06.005

摘要

We consider the problem of classifying the orbits within a tower of fibrations with P-2-fibers that generalize the Monster Tower due to Montgomery and Zhitomirskii. The action on the tower is given by prolongations of diffeomorphism germs of 3-space. 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 in the fourth level of the tower.

  • 出版日期2012-10