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SUMMARY:A curious variational property of classical minimal surfaces - Jac
 ob Bernstein (University of Cambridge\, DPMMS)
DTSTART:20121008T140000Z
DTEND:20121008T150000Z
UID:TALK40688@talks.cam.ac.uk
CONTACT:Filip Rindler
DESCRIPTION:Let $\\Sigma$ be a nowhere umbilic classical minimal surface i
 n $R^3$.\nWe observe that the induced metric\, $g$\, on $\\Sigma$ may be c
 onformally deformed -- in an explicit manner -- to a smooth metric $\\hat{
 g}$ which is a critical point of a natural geometric functional $\\mathcal
 {E}$.  The diffeomorphism invariance of $\\mathcal{E}$ gives rise to a con
 servation law $T$.  We characterize several important model surfaces in te
 rms of $T$. Time permitting\, the KdV equation will make an unexpected gue
 st appearance.\n\nThis is joint work with T. Mettler.
LOCATION:CMS\, MR11
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