In this short note, we try to calculate conformal changes of Christoffel symbols that we have touched in the previous note [here]. Let us pick two Riemannian metrics and on a manifold sitting in the same conformal class, that is,
where is a smooth function on .
Let us recall that Christoffel symbols are determined by
A standard computation shows that
If we use the following conformal change instead of , we then see that
In other words,