Calculus of Variations and Geometric Measure Theory

A. Cucinotta - F. Fiorani

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

created by cucinotta on 03 May 2024
modified on 21 Jan 2025

[BibTeX]

Published Paper

Inserted: 3 may 2024
Last Updated: 21 jan 2025

Journal: Journal of Geometric Analysis
Year: 2024

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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