%0 Journal Article
%T Gauge Deformations and Embedding Theorems for Special Geometries
%A Sebastian Stock
%J Mathematics
%D 2009
%I arXiv
%X We reduce the embedding problem for hypo SU(2) and SU(3)-structures to the embedding problem for hypo G2-structures into parallel Spin(7)-manifolds. The latter will be described in terms of gauge deformations. This description involves the intrinsic torsion of the initial G2-structure and allows us to prove that the evolution equations, for all of the above embedding problems, do not admit non-trivial longtime solutions.
%U http://arxiv.org/abs/0909.5549v2