Bounds for several-disk packings of hyperbolic surfaces

Jason DeBlois

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arXiv · 1701.07770

Bounds for several-disk packings of hyperbolic surfaces

Jason DeBlois

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Abstract

For any given natural number $k$, this paper gives upper bounds on the radius of a packing of a complete hyperbolic surface of finite area by $k$ equal-radius disks in terms of the surface's topology. We show that the bounds given here are sharp in some cases and not sharp in others.

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BibTeX RIS

Jason DeBlois. 2018-06-08. Bounds for several-disk packings of hyperbolic surfaces. https://arxiv.org/abs/1701.07770

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