Euclidean orthonormal frame
= Euclidean orthonormal frame
{c}
{title2=$g(e_i,e_j)=\delta_{ij}$}
This is a frame of a real <vector bundle> with a positive-definite <fiber metric> for which the basis vectors are orthonormal. The <Gram-Schmidt process> applied to any smooth local frame produces such frames smoothly. They are distinguished from Lorentzian orthonormal frames, whose metric has mixed signature.