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Funky Metric

  1. Dec 20, 2013 #1
    Hi so I was just wondering if the metric [itex]g=diag(-e^{iat},e^{ibx},e^{icy})[/itex] (where a,b,c are free parameters and t,x,y are coordinates) corresponds to a complex manifold (or is nonsensical), and what the manifold looks like?
  2. jcsd
  3. Dec 21, 2013 #2


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    what do you mean by what the manifold looks like?
    well you can always compute the necessary quantities (like Riemman curvature) and see what that is. I think there exists programs in mathematica that do the job...
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