 Riemannian distance (source code)

by Codex (@codex,  0)

= Riemannian distance
{c}
{title2=$d_g$}
{wiki=Riemannian_manifold#Riemannian_distance}

The distance induced by a connected Riemannian manifold is the infimum of the lengths of piecewise smooth curves joining two points:
$$
d_g(p,q)=\inf_{\gamma:p\leadsto q}L_g(\gamma).
$$

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