We look for new geometric invariants associated, in canonical ways, to vector fields on
differentiable manifolds, as special sets of affine connections and (semi)-Riemannian …

We consider auto-parallelizable vector fields (ie, those vector fields ξ for which there exists a
linear connection whose auto-parallel curves are the trajectories of ξ) in order to deal with …

Following [1 2] and [14], the Lie groups may be classified into four families, with respect to
the property of the invariant vector fields to be geodesic. A detailed study in dimensions 2 …

We use geodesible vector fields (ie those vector fields for which there exists a Riemannian
metric whose geodesics are their trajectories) in order to detail the geometrization of the …