with Ψ Ψ μ μ = δ δ μ μ 0 and γ γ μ μ ν ν = δ δ A μ μ δ δ B ν ν δ δ A B ( 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 Ψ μ μ and γ γ μ μ ν ν under Galilei-transformations. The Riemann curvature tensor in inertial system coordinates of this connection is then given by