Here we set $X,Y\in \Gamma(TM)$, $f\in C^\infty(M)$, $q\in M$. Then when we consider $[X,Y]$ as the derivation, what is $[X,Y](f)(q)$? Is that $X_qY_q(f)-Y_qX_q(f)$?
2026-04-29 15:26:56.1777476416
A question about $[X,Y]$, where $X,Y$ are vector fields
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