Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894665 | Journal of Geometry and Physics | 2015 | 21 Pages |
Abstract
We present a uniform description of SU(3)-structures in dimension 6 as well as G2-structures in dimension 7 in terms of a characterising spinor and the spinorial field equations it satisfies. We apply the results to hypersurface theory to obtain new embedding theorems, and give a general recipe for building conical manifolds. The approach also enables one to subsume all variations of the notion of a Killing spinor.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ilka Agricola, Simon G. Chiossi, Thomas Friedrich, Jos Höll,