(no subject)
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)
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)