A remark on a curvature gap for minimal surfaces in the ball

Author:

Barbosa Ezequiel,Viana Celso

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference10 articles.

1. Ambrozio, L., Nunes, I.: A gap theorem for free boundary minimal surfaces in the three-ball, arXiv:1608.05689 [math.DG]. To appear in Communications in Analysis and Geometry

2. Chern, S.S., do Carmo, M., Kobayashi, S.: Minimal submanifolds of a sphere with second fundamental form of constant length. In: Functional Analysis and Related Fields (Proc. Conf. for M. Stone, Univ. Chicago, Chicago, vol. 1970, pp. 59–75. Springer, New York (1968)

3. Fraser, A., Schoen, R.: Uniqueness theorems for free boundary minimal disks in space forms. Int. Math. Res. Not. 17, 8268–8274 (2015)

4. Fraser, A., Schoen, R.: Steklov eigenvalue, conformal geometry and minimal surfaces. Adv. Math. 226(5), 4011–4030 (2011)

5. Fraser, A., Schoen, R.: Sharp eigenvalue bounds and minimal surfaces in the ball. Invent. Math. 203, 823–890 (2016)

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