Area Bounds for Free Boundary Minimal Surfaces in a Geodesic Ball in the Sphere
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🧮 math.DG
keywords
areaballboundaryboundsfreegeodesicminimalsphere
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We extend to higher dimensions earlier sharp bounds for the area of two dimensional free boundary minimal surfaces contained in a geodesic ball of the round sphere. This follows work of Brendle and Fraser-Schoen in the euclidean case.
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