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Mass Bounds for Confined Area-Minimizing Minimal Surfaces

Jiang, Xumin et al.
arXiv (All) · Papers
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49q15analysis-of-pdesdifferential-geometry
We establish codimension-independent mass bounds for geometrically confined area-minimizing rectifiable currents. In Euclidean space, we combine the confined-volume doubling theorem of Colding--Minicozzi with a current-theoretic squashing argument. This gives an affirmative answer to Lin's interior
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