Communications in Analysis and Geometry
Volume 29 (2021)
A gap theorem for free boundary minimal surfaces in the three-ball
Pages: 283 – 292
We show that, among free boundary minimal surfaces in the unit ball in the three-dimensional Euclidean space, the flat equatorial disk and the critical catenoid are characterised by a pinching condition on the length of their second fundamental form.
L. A. was supported by the ERC Start Grant PSC and LMCF 278940. I. N. was supported by CNPq-Brazil and FAPEMA/ CNPq.
Received 21 January 2017
Accepted 22 August 2018
Published 19 April 2021