Pfaffian Systems from Twistor Fibrations

TL;DR

This paper explicitly identifies Pfaffian systems derived from twistor fibrations' superhorizontal distributions, classifying those with five or fewer variables based on Awane and Goze's framework.

Contribution

It provides an explicit classification of Pfaffian systems from twistor fibrations with up to five variables, linking geometric structures to algebraic classifications.

Findings

Explicit identification of Pfaffian systems from twistor fibrations

Classification of these systems with five or fewer variables

Connection to Awane and Goze's classification framework

Abstract

Canonical twistor fibrations lead to Pfaffian systems by means of their superhorizontal distribution. The aim of this note is to identify explicitly the Pfaffian systems of five or less variables that arise in this way in terms of the classification given by A.Awane and M.Goze.