Let K be a complex constant. Then isn't X := {(u, v, w) in C^3 | u+v+w = K} isometric to C^2, via say f: C^2 -> X by f(u,v) = sqrt(1/2) (u, v, K-u-v) --Dan ----------------------------------- Jim wrote: << What is the topology of the set of triples of unit complex numbers (u,v,w) satisfying u+v+w = some fixed complex number z?

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