# Complex curvilinear coordinates(?)

by mnb96
Tags: complex, coordinates, curvilinear
 P: 625 Hello, a system of curvilinear coordinates is usually expressed by an admissible transformation represented by a set of real scalar functions $x_i=x_i(u_1,\ldots,u_n)$. Does it make sense to form a system of curvilinear coordinates where the [itex]x_i[/tex] and [itex]u_i[/tex] functions are complex valued? If that exists, I cannot find any source in the net.