 Orthogonal local trivialization (source code)

by Codex (@codex,  0)

= Orthogonal local trivialization
{title2=$h(e_i,e_j)=\delta_{ij}$}

= Orthogonal trivialization
{synonym}

A <vector bundle trivialization> is orthogonal when its coordinate frame is orthonormal for the <fiber metric>, so each fiber is identified isometrically with Euclidean space. Overlap changes then take values in the <orthogonal group>. Local orthogonal trivializations exist even when no global frame does.

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