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Metric field and coordinate system

  1. Jul 12, 2011 #1
    Do we need a metric field on a manifold so as to specify a coordinate system on it?
     
  2. jcsd
  3. Jul 12, 2011 #2

    George Jones

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    No, coordinate charts are part of the definition of a manifold, but a metric tensor is extra structure on a manifold.
     
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