An isoperimetric inequality in the universal cover of the punctured plane

DOI10.1016/J.DISC.2007.10.033zbMath1159.52009OpenAlexW2098891244MaRDI QIDQ998450

Adi Pinchasi, Noga Alon, Rom Pinchasi

Publication date: 28 January 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.10.033

zbMATH Keywords

integer latticelinear isoperimetric inequalityuniversal cover space

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items (1)

The precise bound for the area-length ratio in Ahlfors' theory of covering surfaces

Cites Work

• Detecting and decomposing self-overlapping curves
• Two problems concerning the area-perimeter ratio of lattice-point-free regions in the plane
• Area-Perimeter Relations for Two-Dimensional Lattices
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An isoperimetric inequality in the universal cover of the punctured plane