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arxiv: 1901.02837 · v1 · pith:GUKTXMAMnew · submitted 2019-01-09 · 🧮 math.DG · math.AP

A global bound for the singular set of area-minimizing hypersurfaces

classification 🧮 math.DG math.AP
keywords area-minimizingboundsingularboundarydimensionalgeometrygiveglobal
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We give an a priori bound on the (n-7)-dimensional measure of the singular set for an area-minimizing n-dimensional hypersurface, in terms of the geometry of its boundary.

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