… general framework behind G -structures, we are tempted to ask for general ways to deform
Q such … on metric G -structures, ie G -structures where G ⊂ S O ( D ) ⊂ G L ( D , R ) . These …

… family of G-structures G-> B a (t)-~ X, B a (0) = BG, such that the deformed structures have …
An interesting fact which arises is that, at least with our method of approach, the global …

… G-structures of finite type formal integrability in the sense above implies integrability. For
analytic Gstructures … If we lift this form to k we get a canonically defined one-form at 4. This is true …

… Before defining what it means for ~ to give a deformation of the G-structure of X, we observe
that, if ZCX is any open set, then there is a natural G'-structure on Z × U induced from the G-…

… a deformation of order к of Gstructures ßj -*■ Mi and B2 -+ M2 at a point ue Mx if and only if
Id : Mv -*■ M! is a deformation of order к of G-structures … of deformation in the following way. …

… and its representation theory, a set of techniques is introduced for calculating the differential
… a structure that lacks some property of actual G-structures. Making an exception for the case …

… structure function, where k is the order of G . Let g denote th e subspace of .g consisting of
… We denote by S the go-component of the space of G-structures which are deformable to go …

… to both the first and second gradients of the deformation … as a function on the 2-jet of the
deformation: … In all this section, we shall consider only G-structures defined by extending to the …

… A Lie algebroid version of Cartan’s method is developed in … We then formulate what it means
for an affine connection on a … (Sect.6) to those infinitesimal G-structures supporting a Cartan …

… The mapping g is called a deformation of the body B from the … deformation ~ (relative to ~o)
at that point, which is given by … nowhere zero exterior differential form (a volume form) on the …