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Curvature and Laplacian

  1. Apr 5, 2007 #1
    Can the laplacian of a scalar field be throught of as its curvature (either approximately or exactly)?
     
  2. jcsd
  3. Apr 8, 2007 #2
    Anyone? Come on! Someone has got to know the answer to my question.:rolleyes:
     
  4. Apr 8, 2007 #3

    Chris Hillman

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    Science Advisor

    I think the best short answer is "not in general". In some circumstances, however, the Laplacian does arise as a Gaussian curvature for certain manifolds admitting certain kinds of charts. Are you perchance studying the Ricci or Calabi flows?
     
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