Geometrical structures on differentiable manifolds (Q2785365)

The author investigates \((X,G)\)-structures and discusses several fundamental examples including the typical ones: locally conformally flat manifolds, spherical manifolds, coordinate quaternionic manifolds and Riemannian manifolds locally modeled on homogeneous spaces.NEWLINENEWLINENEWLINEMoreover, when the model space is a homogeneous manifold, the author describes \((X,G)\)-structures as special reductions of the bundle of \(r\)-frames.