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On the dimension of the singular set of perimeter minimizers in spaces with a two-sided Ricci curvature bound

Published 9 May 2024 in math.DG | (2405.05775v2)

Abstract: We show that the Hausdorff dimension of the singular set of perimeter minimizers in non-collapsed Ricci limit spaces with a two-sided Ricci curvature bound is at most $N-5$, where $N$ is the dimension of the ambient space. The estimate is sharp.

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