Minimizing geodesic nets and critical points of distance

Ian M Adelstein

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arXiv · 1905.07268

Minimizing geodesic nets and critical points of distance

Ian M Adelstein

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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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BibTeX RIS

Ian M Adelstein. 2019-05-17. Minimizing geodesic nets and critical points of distance. https://arxiv.org/abs/1905.07268

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