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math.DG2010
A Variational Characterization of the Catenoid
Jacob Bernstein, Christine Breiner
In this note, we use a result of Osserman and Schiffer \cite{OS} to give a variational characterization of the catenoid. Namely, we show that subsets of the catenoid minimize area…
math.DG2010★ 6 cited
Symmetry of Embedded Genus-One Helicoids
Jacob Bernstein, Christine Breiner
In this note, we use the Lopez-Ros deformation introduced in [9] to show that any embedded genus-one helicoid must be symmetric with respect to rotation by 180 degrees around a nor…