English

When do Fermat constants completely determine Clairaut constants for branching geodesics on a surface of revolution?

Geometric Topology 2023-10-13 v1

Abstract

We prove that Fermat constants do not completely determine Clairaut constants for three branching geodesics that meet at the weighted Fermat-Torricelli point on a surface of revolution, except the case of a standard sphere in R3.\mathbb{R}^{3}.

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Cite

@article{arxiv.2310.07717,
  title  = {When do Fermat constants completely determine Clairaut constants for branching geodesics on a surface of revolution?},
  author = {Anastasios N. Zachos},
  journal= {arXiv preprint arXiv:2310.07717},
  year   = {2023}
}

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7 pages