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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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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