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- Title
Rectifiability of Flat Singular Points for Area-Minimizing mod 2Q Hypercurrents.
- Authors
Skorobogatova, Anna
- Abstract
Consider an |$ m $| -dimensional area minimizing mod |$ (2Q) $| current |$ T $| , with |$ Q\in {\mathbb {N}} $| , inside a sufficiently regular Riemannian manifold of dimension |$ m + 1 $|. We show that the set of singular density- |$ Q $| points with a flat tangent cone is |$ (m-2) $| -rectifiable. This complements the thorough structural analysis of the singularities of area-minimizing hypersurfaces modulo |$ p $| 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.
- Subjects
HYPERSURFACES; RIEMANNIAN manifolds
- Publication
IMRN: International Mathematics Research Notices, 2024, Vol 2024, Issue 11, p9237
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnae024