G-structure on a manifold
STRUCTURE GROUP SUB-BUNDLE ON A TANGENT FRAME BUNDLE
Reduction of the structure group of a bundle; Reduction of the structure group; Reduction of structure group; G structure; G-structure
In differential geometry, a G-structure on an n-manifold M, for a given structure groupWhich is a Lie group G \to GL(n,\mathbf{R}) mapping to the general linear group GL(n,\mathbf{R}). This is often but not always a Lie subgroup; for instance, for a spin structure the map is a covering space onto its image.