Question: Let $X$ and $Y$ be vector fields and $f$ a function on $M$. Compute the double covariant derivatives (i) $abla_{X} abla_{Y}$, (ii) $abla_{mu} abla_{v} f$,
Let $X$ and $Y$ be vector fields and $f$ a function on $M$. Compute the "double covariant derivatives"
(i) $abla_{X} abla_{Y}$,
(ii) $abla_{\mu} abla_{v} f$, writing them as sums of terms that involve partial derivatives and (if needed) connection coefficients.
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