The aim of this work is to show the existence of free boundary minimal surfaces of Saddle Tower type which are embedded in a vertical solid cylinder in R-3 and invariant with respect to a vertical translation. The number of boundary curves equals 2l, l >= 2. These surfaces come in families depending on one parameter and they converge to 2l vertical stripes having a common vertical intersection line. Such surfaces are obtained by perturbing the symmetrically modified Saddle Tower minimal surfaces.
Singly periodic free boundary minimal surfaces in a solid cylinder of ℝ3
Morabito F.
2015-01-01
Abstract
The aim of this work is to show the existence of free boundary minimal surfaces of Saddle Tower type which are embedded in a vertical solid cylinder in R-3 and invariant with respect to a vertical translation. The number of boundary curves equals 2l, l >= 2. These surfaces come in families depending on one parameter and they converge to 2l vertical stripes having a common vertical intersection line. Such surfaces are obtained by perturbing the symmetrically modified Saddle Tower minimal surfaces.File in questo prodotto:
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