G-connections as twisted formal solutions of systems of PDE's related to geometric structures
Geodesics and curvature of semidirect product groups
Summary: Geodesics and curvature of semidirect product groups with right invariant metrics are determined. In the special case of an isometric semidirect product, the curvature is shown to be the sum of the curvature of the two groups. A series of examples, like the magnetic extension of a group, are then considered.
Geometry meaning of curvatures in Finsler geometry