Non-regular $|2|$-graded geometries II: classifying geometries, and generic six-in-nine distributions - Mathematics > Differential GeometryReport as inadecuate




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Abstract: Complementing the previous paper in the series, this paper classifies$|2|$-graded parabolic geometries, listing their important properties: thegroup $G 0$, the graded tangent bundle $grT$ and its algebra\-ic bracket, therelevant cohomology spaces and the standard Tractor bundle $\mc{T}$. Several ofthese geometries are then explored in more detail, and the paper ends with acase study that that partially solves the equivalence problem for generic sixdistributions on nine dimensional manifolds.



Author: Stuart Armstrong

Source: https://arxiv.org/







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