Conformal development of a curve in a Riemannian space into a Minkowski space (Q1358053)

The author studies normal and general conformal Cartan connections. He defines the development of a curve in a pseudo-Euclidean Minkowski space by means of a given connection. He studies the behavior of a connection and development under pointwise conformal deformations of a metric. He defines conformally flat curves -- an analog of circles in Euclidean space. Conformally flat approximation of general Riemannian metrics is relevant because it enables us to reveal that part of ``geometry'' which is ``controlled'' by the Ricci tensor. Based on the conformal development of a curve, the author constructs a mapping from a Riemannian space onto a conformally flat space and indicates upper estimates for the quasiconformality coefficient of the mapping in terms of the Weyl tensor and its divergence.