/usr/share/doc/cadabra/properties/InverseMetric.tex is in cadabra 1.39-0.2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 | \cdbproperty{InverseMetric}{}
This property is the partner of \subsprop{Metric}. It makes the
associated two-tensor symmetric and also indicates that it can be used
to raise or lower indices.
\begin{screen}{1,2,3}
g^{m n}::InverseMetric.
g_{m n}::Metric.
g_{m q} g^{m n} A_{n p};
@eliminate_metric!(%);
A_{q p};
\end{screen}
For more information, see \subsprop{Metric}.
\cdbseealgo{eliminate_metric}
\cdbseeprop{Metric}
\cdbseeprop{Symmetric}
|