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Complex curvilinear coordinates(?)

  1. Dec 30, 2009 #1
    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.
  2. jcsd
  3. Dec 30, 2009 #2
    Wouldn't that be equivalent to a 2n coordinates? But I'm not quite sure
  4. Dec 30, 2009 #3
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