Riemannian orthonormal frame
= Riemannian orthonormal frame
{c}
{title2=$g(X_i,X_j)=\delta_{ij}$}
A smooth local basis of <vector fields> whose <inner products> under a <Riemannian metric> are the identity matrix. Tracing the <Riemannian Hessian> in such a frame gives the <Laplace-Beltrami operator>, with the chosen sign.