Extremal k-packings in compact non-orientable surfaces

Ernesto Girondo; Cristian Reyes

Extremal k-packings in compact non-orientable surfaces

Metric Geometry 2019-07-04 v3 Complex Variables Geometric Topology

Authors: Ernesto Girondo , Cristian Reyes

Abstract

An extremal $k$ -packing is a collection of $k$ mutually disjoint metric discs, embedded in a surface, whose radius is maximal for the given topology. We study compact non-orientable surfaces of genus $g\ge 3$ containing extremal $k$ -packings.

Keywords

sphere packings algebraic surfaces surfaces and embeddings

Cite

@article{arxiv.1905.13295,
  title  = {Extremal k-packings in compact non-orientable surfaces},
  author = {Ernesto Girondo and Cristian Reyes},
  journal= {arXiv preprint arXiv:1905.13295},
  year   = {2019}
}