>> The answer to your question is essentially "yes" ...

Thank you for your detailed response and links.  I had in fact found
some of them when searching, but clearly hadn't read them carefully
enough.  In particular, I had missed the use of vector_frame in the
documentation of Affine Connections, although I note that 2 of your
subsequent 3 examples appear to define frames without using this class.

I expect that these examples will indeed provide the guidance I need,
and will work through them more carefully.

Again, thank you.

Tevian

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