Minimizing geodesic nets and critical points of distance

2019/05/17 by Adelstein, Ian M · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1905.07268

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

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