Projectively equivalent Riemannian connections (Q2366384)

First skew-orthonormal moving frames of pseudo-Riemannian manifolds are studied, and their structure equations are derived (as a generalization of a result of J. A. Wolf). Then these frames, Segre characteristics and \(\lambda\)-matrices are used for the investigation of Riemannian manifolds with common geodesics. In particular all projective equivalent connections are described by means of this technique.