I checked that UFT362 is written in such a way that the erratum does not appear in it. So it does not need to be reposted. However, I agree that there should be two different spin connections, and will develop this further in notes for UFT363. One spin connection is made up of r(t, r(t), theta(t)) and the other from v(t, r(t), theta(t)) in fluid dynamics.

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