In the special case where i and j run over three values,
γn[C] = ∫∫A[C] dA e[s ] ⋅ Vn[s ], ----- (1)
where e[s ] is the unit vector normal to the surface A[C] at the point s, and Vn[s ] is a three-vector in parameter space:
Vn[s ] ≡ i ∑m≠n{(Φn[s ], [∇H [s ]] Φm[s ])* × (Φn[s ], [∇H [s ]]...