A remark on a curvature gap for minimal surfaces in the ball
classification
🧮 math.DG
keywords
ballminimalsurfacesambrozioboundarycatenoidcharacterizationcodimension
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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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