English

Minimizing geodesic nets and critical points of distance

Differential Geometry 2020-04-22 v2

Abstract

In this paper we establish a relationship between geodesic nets and critical points of the distance function. We bound the number of balanced points for certain minimizing geodesic nets on manifolds homeomorphic to the nn-sphere. We also bound the length of certain minimizing geodesic nets.

Keywords

Cite

@article{arxiv.1905.07268,
  title  = {Minimizing geodesic nets and critical points of distance},
  author = {Ian M Adelstein},
  journal= {arXiv preprint arXiv:1905.07268},
  year   = {2020}
}

Comments

updated for publication