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- W4320341345 abstract "We construct a family of compact free boundary minimal annuli immersed in the unit ball $mathbb{B}^3$ of $mathbb{R}^3$, the first such examples other than the critical catenoid. This solves a problem formulated by Nitsche in 1985. These annuli are symmetric with respect to two orthogonal planes and a finite group of rotations around an axis, and are foliated by spherical curvature lines. We show that the only free boundary minimal annulus embedded in $mathbb{B}^3$ foliated by spherical curvature lines is the critical catenoid; in particular, the minimal annuli that we construct are not embedded. On the other hand, we also construct families of non-rotational compact embedded capillary minimal annuli in $mathbb{B}^3$. Their existence solves in the negative a problem proposed by Wente in 1995." @default.
- W4320341345 created "2023-02-13" @default.
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- W4320341345 date "2022-08-31" @default.
- W4320341345 modified "2023-09-23" @default.
- W4320341345 title "Free boundary minimal annuli immersed in the unit ball" @default.
- W4320341345 doi "https://doi.org/10.48550/arxiv.2208.14998" @default.
- W4320341345 hasPublicationYear "2022" @default.
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