Free boundary minimal annuli immersed in the unit ball

I Fernández, L Hauswirth, P Mira - Archive for Rational Mechanics and …, 2023 - Springer
free boundary minimal annulus embedded in \(\mathbb {B}^3\) foliated by spherical curvature
lines is the critical catenoid; in particular, the minimal annuli … capillary minimal annuli in \(\…

Free boundary minimal annuli immersed in the unit 3-ball

N Kapouleas, P McGrath - arXiv preprint arXiv:2212.09680, 2022 - arxiv.org
… hypothesis that the embedded annulus is antipodally symmetric. There … immersed free
boundary minimal annuli in B3 [17, 16, 14, 12]. In this article we construct FBM immersed annuli in …

Free boundary minimal surfaces in the unit ball: recent advances and open questions

M Li - arXiv preprint arXiv:1907.05053, 2019 - arxiv.org
immersed free boundary minimal submanifold in Bn. … An immersed free boundary minimal
annulus in B3 has no … in the 3-ball by tripling the equatorial disc, arXiv:1711.00818. 53. …

Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disk

N Kapouleas, MM Li - arXiv preprint arXiv:1709.08556, 2017 - arxiv.org
… of free boundary minimal surfaces in the Euclidean unit 3-ball by … D is the unique (immersed)
free boundary minimal disk in B3 by … with B3 + is an annulus with one boundary circle on S2 …

Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disc

N Kapouleas, MM Li - Journal für die reine und angewandte …, 2021 - degruyter.com
… of free boundary minimal surfaces in the Euclidean unit 3-ball … 𝔻 is the unique (immersed)
free boundary minimal disc in 𝔹 3 by … of free boundary minimal annuli in such three-manifolds. …

Free boundary minimal surfaces with connected boundary in the -ball by tripling the equatorial disc

N Kapouleas, D Wiygul - Journal of Differential Geometry, 2023 - projecteuclid.org
… prove the existence of free boundary minimal annuli in such three-… B2 is the unique (immersed)
free boundary minimal disk in B3 … We set B3 := {r ≤ 1} ⊂ R3, the closed unit 3-ball in R3 …

On Steklov eigenspaces for free boundary minimal surfaces in the unit ball

R Kusner, P Mcgrath - American Journal of Mathematics, 2024 - muse.jhu.edu
free boundary minimal annulus—we appeal to a result of Fraser-Schoen [… immersion X : Σm
→ Bm+1 as a free boundary minimal … in the 3-ball by tripling the equatorial disc, J. Differential …

Free-boundary minimal surfaces with connected boundary in the -ball by tripling the equatorial disc

N Kapouleas, D Wiygul - arXiv preprint arXiv:1711.00818, 2017 - arxiv.org
… of free boundary minimal annuli in such three-manifolds. … properly immersed free boundary
minimal surfaces in the unit three-ball. … We set B3 := {r ≤ 1} ⊂ R3, the closed unit 3-ball in R3 …

Non-existence of free boundary minimal M\" obius bands in the unit three-ball

CAT Cardona - arXiv preprint arXiv:2404.11101, 2024 - arxiv.org
… of an annulus and show that the Hopf differential of free boundary minimal annuli in the unit
… inclusion of the disk in the unit ball, we obtain a free boundary minimal immersion X : A → B3 …

Free boundary minimal surfaces in the unit ball with low cohomogeneity

B Freidin, M Gulian, P McGrath - Proceedings of the American …, 2017 - ams.org
free boundary minimal annulus in B3 is claimed as a fact without reference in [17]. Nevertheless,
the uniqueness of the critical catenoid amongst free boundary minimal annuliimmersed