Isoperimetric inequalities for densities of lattice-periodic sets

Authors
Brass, P
Citation
P. Brass, Isoperimetric inequalities for densities of lattice-periodic sets, MONATS MATH, 127(3), 1999, pp. 177-181
Citations number
5
Categorie Soggetti
Mathematics
Journal title
MONATSHEFTE FUR MATHEMATIK
ISSN journal
00269255 → ACNP
Volume
127
Issue
3
Year of publication
1999
Pages
177 - 181
Database
ISI
SICI code
0026-9255(1999)127:3<177:IIFDOL>2.0.ZU;2-9
Abstract
The minimum boundary length density of a lattice-periodic set with given pe riod lattice and area density is determined, together with the extremal set s, and a conjecture on the higher-dimensional analogue is made, This improv es previous results of Hadwiger for Z(d)-periodic d-dimensional sets and of Schnell and Wills on two-dimensional sets with arbitrary period-lattice.