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arXiv · 1211.5534

Strict Periodic Extreme Lattices

Achill Schürmann
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Abstract

A lattice is called periodic extreme if it cannot locally be modified to yield a better periodic sphere packing. It is called strict periodic extreme if its sphere packing density is an isolated local optimum among periodic point sets. In this note we show that a lattice is periodic extreme if and only if it is extreme, that is, locally optimal among lattices. Moreover, we show that a lattice is strict periodic extreme if and only if it is extreme and non-floating.

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Achill Schürmann. 2012-11-23. Strict Periodic Extreme Lattices. https://arxiv.org/abs/1211.5534

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