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Signed-off-by: Marcello Seri <marcello.seri@gmail.com>
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@@ -765,3 +765,4 @@ \section{Lie derivative}
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Note that it does not allow us differentiate a tensor field (or a differential form) with respect to a single tangent vector: the value of $\cL_X(\tau)$ at a point depends on the values of $X$ in a neighbourhood of the point, not just on the germ at $X$.
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%This stems from the fact that $X\to\cL_X$ is not $C^\infty(M)$-linear: you can see this by using~\eqref{eq:cLXwBrackets} and show that $\cL_{fX}(\omega)(Y) = f\cL_X(\omega)(Y) + Y(f)\omega(X)$, and in general there is no reason for the correction $Y(f)\omega(X)$ to vanish.
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\end{remark}
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% Renamed from 6-differentiaforms.tex

aom.tex

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@@ -333,7 +333,7 @@ \chapter{Tensor fields}\label{cg:tf}
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\input{5-tensors}
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\chapter{Differential forms}
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\input{6-differentiaforms}
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\input{6-differentialforms}
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\chapter{De Rham cohomology and Poincar\'e lemma}
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\input{6b-cohomology}

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