# 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} }

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.

#### One Citation

Singularities of minimizing harmonic maps into closed manifolds

- Physics
- 2019

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 harmonic… Expand

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