Free planes in lattice sphere packings
度量几何
2007-05-23 v1
摘要
We show that for every lattice packing of -dimensional spheres there exists an -dimensional affine plane which does not meet any of the spheres in their interior, provided is large enough. Such an affine plane is called a free plane and our result improves on former bounds.
引用
@article{arxiv.math/0308098,
title = {Free planes in lattice sphere packings},
author = {Martin Henk},
journal= {arXiv preprint arXiv:math/0308098},
year = {2007}
}
备注
7 pages