Projective structure in 4-dimensional manifolds with metric signature \((+,+,-,-)\)
The authors consider the situation of a 4-dimensional manifold admitting two metric connections, one of which is compatible with a metric of signature \((+,+, -,-)\), and which have the same unparametrised geodesics. They show how, in many cases, depending on the holonomy type, a relationship between these connections and metrics can be found.
scientific article; zbMATH DE number 6156356