Instantons in curvilinear coordinates

The multi-instanton solutions by 'tHooft and Jackiw. Nohl & Rebbi are gener alized to curvilinear coordinates, Expressions can be notably simplified by the appropriate gauge transformation. This generates the compensating addi tion to the gauge potential of pseudoparticles, Singularities of the compen sating connection are irrelevant fur physics but affect gauge dependent qua ntities.