Uniqueness of the Catenoid and the Delaunay Surface via a One-Parameter Family of Touching Spheres

Author:

Min Sung-Hong,Seo KeomkyoORCID

Funder

National Research Foundation of Korea

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference47 articles.

1. Ambrozio, L., Nunes, I.: A gap theorem for free boundary minimal surfaces in the three-ball. Comm. Anal. Geom. 29(2), 283–292 (2021)

2. Andrews, B., Li, H.: Embedded constant mean curvature tori in the three-sphere. J. Diff. Geom. 99(2), 169–189 (2015)

3. Barbosa, E., Cavalcante, M. P., Pereira, E.: Gap results for free boundary CMC surfaces in the Euclidean three-ball, arXiv:1908.09952

4. Barbosa, E., Viana, C.: A remark on a curvature gap for minimal surfaces in the ball. Math. Z. 294(1–2), 713–720 (2020)

5. Bernstein, J., Breiner, C.: A variational characterization of the catenoid. Calc. Var. Partial Diff. Eq. 49(1–2), 215–232 (2014)

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