Complex curvilinear coordinates(?)

  • Thread starter mnb96
  • Start date
712
5
Hello,
a system of curvilinear coordinates is usually expressed by an admissible transformation represented by a set of real scalar functions [itex]x_i=x_i(u_1,\ldots,u_n)[/itex].

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.
 
Wouldn't that be equivalent to a 2n coordinates? But I'm not quite sure
 
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