# Funky Metric

1. Dec 20, 2013

### cuallito

Hi so I was just wondering if the metric $g=diag(-e^{iat},e^{ibx},e^{icy})$ (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. Dec 21, 2013

### ChrisVer

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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