2012/10/01 by Peter Zeiner, Zeiner, Peter
Mathematics · Physics and Astronomy · #11H31 #11H50 #11M41 #20H15 #40E10 #51F15 #FOS: Mathematics #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #cond-mat.mtrl-sci #math.MG #msc:11H31 #msc:11H50 #msc:11M41 #msc:20H15 #msc:40E10 #msc:51F15
paper · pdf · doi:10.48550/arxiv.1210.0571
6 pages
arxiv created 2012/10/01 · openalex publication_date 2012/10/01 · arxiv updated 2012/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.