Title:
Spinorial description of SU(3) and G2 manifolds
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. Joint work with Thomas Friedrich,
Simo Chiossi, and Jos Hoell.