3 years ago

The St\"utzfunktion and the Cut Function.

Paul Tod

I review some standard theory of convex bodies in $\mathbb{R}^3$ and rephrase it in a formalism of Ted Newman to show the relation between the St\"utzfunktion of the former theory and the cut function introduced by Ted. This leads to a conjectured inequality for space-like two-spheres in Minkowski space that generalises Minkowski's inequality and is implied by Penrose's cosmic censorship hypothesis.

Publisher URL: http://arxiv.org/abs/1710.10052

DOI: arXiv:1710.10052v1

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