The Stützfunktion and the Cut Function

Paul Tod

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arXiv · 1710.10052

The Stützfunktion and the Cut Function

Paul Tod

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Abstract

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 Stützfunktion 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.

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Paul Tod. 2017-10-27. The Stützfunktion and the Cut Function. https://arxiv.org/abs/1710.10052

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