By "intrinsic", I mean, something which doesn't depend choice of coordinates.
I think this is true, but is this actually a theorem that is written in some book?
Is there some sort of "classification theorem" of this type in higher dimensions?
2026-04-02 04:32:42.1775104362
On 2d manifolds, is Ricci the only (intrinsic) symmetric 2-tensor which is derivative of metric up to 2nd order?
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