  No further conditions need be imposed according to Weyl. If we displace \(\Sigma(M_{p})\) by successive steps around a curve \(\gamma\) back to the point \(p \in M\) then the final position of \(\Sigma(M_{p})\) is obtained from its original poition or orientation by a certain automorphism \(\Sigma(M_{p}) \rightarrow \Sigma(M_{p})\). This automorphism is Cartan’s generalization of Riemann’s concept of curvature along the curve \(\gamma\) on \(M\). 