Well-rounded sublattices and coincidence site lattices
Metric Geometry
2012-10-03 v1 Materials Science
Abstract
A lattice is called well-rounded, if its lattice vectors of minimal length span the ambient space. We show that there are interesting connections between the existence of well-rounded sublattices and coincidence site lattices (CSLs). Furthermore, we count the number of well-rounded sublattices for several planar lattices and give their asymptotic behaviour.
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Cite
@article{arxiv.1210.0571,
title = {Well-rounded sublattices and coincidence site lattices},
author = {Peter Zeiner},
journal= {arXiv preprint arXiv:1210.0571},
year = {2012}
}
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6 pages