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Minimizing geodesic nets and critical points of distance (1905.07268v2)
Published 17 May 2019 in math.DG
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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