Corpus ID: 119175022

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

@article{Edelen2019AGB,
title={A global bound for the singular set of area-minimizing hypersurfaces},
author={Nick Edelen},
journal={arXiv: Differential Geometry},
year={2019}
}
• Nick Edelen
• Published 9 January 2019
• Mathematics
• arXiv: Differential Geometry
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.
1 Citations
Singularities of minimizing harmonic maps into closed manifolds
Harmonic maps appear naturally in various geometric problems. Let us mention several examples: • ifM is 1-dimensional, harmonic maps are geodesics on N ; • if N = R, harmonic maps are simply harmonicExpand

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