Hello Kurt, I'm also interested in differential forms and differential geometry,
and I looked into dform.spad/pdf a bit, I make some changes to example
code. Also a word of advice: you can cleanup trailing white spaces in these
files.
diff --git a/deploy/dform.spad b/deploy/dform.spad
index 4ebe1db..d09dd12 100644
--- a/deploy/dform.spad
+++ b/deploy/dform.spad
@@ -659,9 +659,9 @@
X ==> Expression R -- function Ring
\end{lstlisting}
%
-For the examples that follow we will choose {\tt R=Integer},
+For the following examples we will choose {\tt R==>Integer},
\begin{verbatim}
- v=[x[0],x[1],x[2],x[3]]},
+ v:=[x[0],x[1],x[2],x[3]]
\end{verbatim}
and the abbreviation {\tt M:=DFORM(R,v)}. Recall that indices of lists
and vectors in FriCAS start with $1$, so one has to be careful:
@@ -792,19 +792,19 @@
\subsubsection{Sign of a metric $g$}
Calculate the sign of a metric $g$.
\begin{lstlisting}
- s(g)
+ s(g)$M
\end{lstlisting}
%
\subsubsection{Inverse Hodge star}
Calculate the inverse Hodge star operator:
\begin{lstlisting}
- invHodgeStar(g,dx.1)
+ invHodgeStar(g,dx.1)$M
\end{lstlisting}
%
\subsubsection{Hodge-Laplacian}
Calculate the Hodge-Laplacian.
\begin{lstlisting}
- hodgeLaplacian(g,f*dx.1)
+ hodgeLaplacian(g,f*dx.1)$M
\end{lstlisting}
%
\subsubsection{Projection}
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