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SUMMARY:A Variational Characterization of the Catenoid - Jacob Bernstein (
 Stanford)
DTSTART:20120227T170000Z
DTEND:20120227T180000Z
UID:TALK36485@talks.cam.ac.uk
CONTACT:Jonathan Ben-Artzi
DESCRIPTION:We show that the catenoid is the unique surface of least area 
 (suitably understood) within a geometrically natural class of minimal surf
 aces. The proof relies on a techniques involving the Weierstrass represent
 ation used by Osserman and Schiffer to show the sharp isoperimetric inequa
 lity for minimal annuli. An alternate approach that avoids the Weierstrass
 \nrepresentation will also be discussed. This latter approach depends on a
  conjectural sharp eigenvalue estimate for a geometric operater and has in
 teresting connections with spectral theory. This is joint work with C. Bre
 iner.
LOCATION:CMS\, MR15
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