Free boundary minimal surfaces in the unit ball with low cohomogeneity

B Freidin, M Gulian, P McGrath - Proceedings of the American …, 2017 - ams.org
We study free boundary minimal surfaces in the unit ball of low cohomogeneity. For each
pair of positive integers $(m, n) $ such that $ m, n> 1$ and $ m+ n\geq 8$, we construct a …

Widths of balls and free boundary minimal submanifolds

JJ Zhu - Advanced Nonlinear Studies, 2023 - degruyter.com
Widths of balls and free boundary minimal submanifolds Skip to content Should you have
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Linear isoperimetric inequalities for free boundary submanifolds in a geodesic ball

E Lee, K Seo - manuscripta mathematica, 2023 - Springer
We derive linear isoperimetric inequalities for free boundary submanifolds in a geodesic ball
of a Riemannian manifold in terms of the modified volume. It is known that the twice of the …

Uniqueness results for free boundary minimal hypersurfaces in conformally Euclidean balls and annular domains

E Barbosa, RA Gonçalves, E Pereira - The Journal of Geometric Analysis, 2021 - Springer
In this paper, we prove that a flat free boundary minimal n-disk, n ≥ 3 n≥ 3, in the unit
Euclidean ball B^ n+ 1 B n+ 1 is the unique compact free boundary minimal hypersurface …

[HTML][HTML] Area bounds for free boundary minimal surfaces in a geodesic ball in the sphere

B Freidin, P McGrath - Journal of Functional Analysis, 2019 - Elsevier
Area bounds for free boundary minimal surfaces in a geodesic ball in the sphere - ScienceDirect
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Rigidity of minimal hypersurfaces with free boundary in a ball

S Park, J Pyo - Geometriae Dedicata, 2022 - Springer
In this paper, we give two rigidity results of free boundary hypersurfaces in a ball. First, we
prove that any minimal hypersurface with free boundary in a closed geodesic ball in a round …

Free boundary minimal submanifolds in geodesic balls of simply connected space forms

M Ruivo de Oliveira - 2024 - open.library.ubc.ca
We consider free boundary minimal submanifolds in geodesic balls of simply connected
space forms and relate them to the eigenvalues and eigenfunctions of the Dirichlet-to …