A Semple Approach to Goursat: The Multi-Flag Case

TL;DR

This paper reviews previous work on classifying orbits in a tower of fibrations related to Goursat multi-flags using the Monster Tower approach, and introduces a new result in this context.

Contribution

It provides an overview of orbit classification in Goursat multi-flags and presents a new result not previously published.

Findings

Summarizes orbit classification within the Monster Tower framework.

Includes a novel result expanding previous work.

Focuses on fibrations with fibers diffeomorphic to projective planes.

Abstract

In this note we summarize our results from earlier work with the Monster Tower (A Monster Tower Approach to Goursat Multi-Flags). In particular, we give an overview of the problem of classifying the orbits within a tower of fibrations with fibers diffeomorphic to projective planes. Included in this note is one new result that was not in our previous work.