Induced worldvolume metric
= Induced worldvolume metric
{title2=$h_{\mu\nu}=\partial_\mu X^a\partial_\nu X^b g_{ab}$}
The induced worldvolume metric is the pullback of the target <metric tensor> by a <brane> embedding. For a nondegenerate timelike embedding, $\sqrt{-\det h}$ is its invariant <worldvolume> volume density. The $p=1$ specialization is the <induced worldsheet metric>.