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

Published 13 Aug 2018 in math.DG | (1808.04341v1)

Abstract: We extend to higher codimension earlier characterization of the equatorial disk and the critical catenoid by a pinching condition on the length of their second fundamental form among free boundary minimal surfaces in the three dimensional Euclidean ball due to L. Ambrozio and I. Nunes.

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