with Ψ μ = δ μ 0 {\displaystyle \Psi _{\mu }=\delta _{\mu }^{0}} and γ μ ν = δ A μ δ B ν δ A B {\displaystyle \gamma ^{\mu \nu }=\delta _{A}^{\mu }\delta _{B}^{\nu }\delta ^{AB}} ( A , B = 1 , 2 , 3 {\displaystyle A,B=1,2,3} ). The connection has been constructed in one inertial system but can be shown to be valid in any inertial system by showing the invariance of Ψ μ {\displaystyle \Psi _{\mu }} and γ μ ν {\displaystyle \gamma ^{\mu \nu }} under Galilei-transformations. The Riemann curvature tensor in inertial system coordinates of this connection is then given by