Rectifiability of flat singular points for area-minimizing mod$(2Q)$ hypercurrents
Analysis of PDEs
2023-06-19 v2 Differential Geometry
Abstract
Consider an -dimensional area minimizing mod current , with , inside a sufficiently regular Riemannian manifold of dimension . We show that the set of singular density- points with a flat tangent cone is countably -rectifiable and has locally finite -dimensional upper Minkowski content. This complements the thorough structural analysis of the singularities of area-minimizing hypersurfaces modulo that has been completed in the series of works of De Lellis-Hirsch-Marchese-Stuvard and De Lellis-Hirsch-Marchese-Stuvard-Spolaor, and the work of Minter-Wickramasekera.
Keywords
Cite
@article{arxiv.2305.03781,
title = {Rectifiability of flat singular points for area-minimizing mod$(2Q)$ hypercurrents},
author = {Anna Skorobogatova},
journal= {arXiv preprint arXiv:2305.03781},
year = {2023}
}
Comments
17 pages, 1 figure. arXiv admin note: text overlap with arXiv:2304.11555