Equality in Laszlo Fejes Toth's triangle bound for hyperbolic surfaces
Differential Geometry
2012-06-15 v1
Abstract
For k>6, we determine the minimal area of a compact hyperbolic surface, and an oriented compact hyperbolic surface that can be tiled by embedded regular triangles of angle 2\pi/k. Based on this, all the cases of equality in Laszlo Fejes Toth's triangle bound for hyperbolic surfaces are described.
Cite
@article{arxiv.1206.3020,
title = {Equality in Laszlo Fejes Toth's triangle bound for hyperbolic surfaces},
author = {C. Barvard and K. J. Boroczky and B. Ormos and I. Prok and L. Vena and G. Wintsche},
journal= {arXiv preprint arXiv:1206.3020},
year = {2012}
}