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. 
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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