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arXiv · 1206.3020

Equality in Laszlo Fejes Toth's triangle bound for hyperbolic surfaces

C. Barvard·K. J. Boroczky·B. Ormos·I. Prok·L. Vena·G. Wintsche
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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 2π/k. Based on this, all the cases of equality in Laszlo Fejes Toth's triangle bound for hyperbolic surfaces are described.

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C. Barvard, K. J. Boroczky, B. Ormos, I. Prok, L. Vena, G. Wintsche. 2012-06-14. Equality in Laszlo Fejes Toth's triangle bound for hyperbolic surfaces. https://arxiv.org/abs/1206.3020

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