(Untitled)

Jul 07, 2009 16:37

Have you ever done any analysis on the functionK = -4/φ4 (φΔφ - |∇φ|2),
where ∇φ and Δφ are the gradient and Laplacian of φ: Rd → R, respectively?

(Motivation: if φ is a conformal change of the flat Euclidean metric, then K is the new scalar curvature)

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Comments 13

forvrkate July 7 2009, 20:46:12 UTC
No, I have not.

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carte July 7 2009, 21:43:23 UTC
all the time

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vyvyanbasterd July 7 2009, 21:49:54 UTC
pretty much only when i don't want to get laid

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ericfish July 7 2009, 22:11:14 UTC
Dumb question from a business major:
Is is necessary to put the absolute value || around the upside-down triangle squiggle since it's being squared?

And what is an upside-down triangle? Reverse delta?

And what's with the squiggle? Is it greek? Upsilon? It looks like a p. Pupsilon?

Where do we go from here?

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kellenolszewski July 7 2009, 22:17:50 UTC
coincidentally no

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