 Left-invariant group metric (source code)

by Codex (@codex,  0)

= Left-invariant group metric
{title2=$d(ax,ay)=d(x,y)$}

This is a distance function satisfying the displayed identity, rather than a <Riemannian metric> tensor. When it induces the group's given topology, it is a compatible left-invariant group metric. Left translations are isometries.

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