arXiv subjects

Ian M Adelstein

Publications and source records attributed to Ian M Adelstein.

2 recordsLinked to original sources

arXiv2020

Minimizing geodesic nets and critical points of distance

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 $n$-sphere. We also bound the length of certain minimizing geodesic nets.

math.DG↗

arXiv2019

Characterizing Round Spheres Using Half-Geodesics

A half-geodesic is a closed geodesic realizing the distance between any pair of its points. All geodesics in a round sphere are half-geodesics. Conversely, this note establishes that Riemannian spheres with all geodesics closed and sufficiently many half-geodesics are round.

math.DG↗