Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    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?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Curvature and Laplacian
  1. Laplacian's theorem (Replies: 5)

Loading...