Curvature and Laplacian

  • Thread starter Swapnil
  • Start date
  • #1
459
5

Main Question or Discussion Point

Can the laplacian of a scalar field be throught of as its curvature (either approximately or exactly)?
 

Answers and Replies

  • #2
459
5
Anyone? Come on! Someone has got to know the answer to my question.:rolleyes:
 
  • #3
Chris Hillman
Science Advisor
2,345
8
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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