Non-regular $|2|$-graded geometries II: classifying geometries, and generic six-in-nine distributions
Differential Geometry
2009-02-09 v1 Representation Theory
Abstract
Complementing the previous paper in the series, this paper classifies -graded parabolic geometries, listing their important properties: the group , the graded tangent bundle and its algebra\"ic bracket, the relevant cohomology spaces and the standard Tractor bundle . Several of these geometries are then explored in more detail, and the paper ends with a case study that that partially solves the equivalence problem for generic six distributions on nine dimensional manifolds.
Keywords
Cite
@article{arxiv.0902.1136,
title = {Non-regular $|2|$-graded geometries II: classifying geometries, and generic six-in-nine distributions},
author = {Stuart Armstrong},
journal= {arXiv preprint arXiv:0902.1136},
year = {2009}
}