Non-regular $|2|$-graded geometries II: classifying geometries, and generic six-in-nine distributions

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dc.creatorArmstrong, Stuart
dc.date2009-02-06
dc.date.accessioned2026-07-07T12:38:57Z
dc.date.available2026-07-07T12:38:57Z
dc.descriptionComplementing the previous paper in the series, this paper classifies $|2|$-graded parabolic geometries, listing their important properties: the group $G_0$, the graded tangent bundle $gr(T)$ and its algebraïc bracket, the relevant cohomology spaces and the standard Tractor bundle $\mc{T}$. 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.
dc.identifierhttps://arxiv.org/abs/0902.1136
dc.identifierhttp://arxiv.org/abs/0902.1136
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218943
dc.subjectDifferential Geometry
dc.subjectRepresentation Theory
dc.subject58A30, 51F25, 53B05, 53B15, 58J60, 58J70, 53C15
dc.titleNon-regular $|2|$-graded geometries II: classifying geometries, and generic six-in-nine distributions
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