2011/07/21 by Alex L. Castro, Castro, Alex L., Wyatt Howard +2
Mathematics · #58Dxx #58Kxx #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals #math.DG #msc:58Dxx #msc:58Kxx
paper · pdf · doi:10.48550/arxiv.1107.4145
Documents has 30 pages, and it contains 7 figures. We have also included two appendices detailing some computations which appeared in the main text
arxiv created 2011/07/21 · openalex publication_date 2011/07/21 · arxiv updated 2011/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.