A Partial $ε$-Regularity Theorem for Integral Stationary Geodesic Networks in $\mathbb{R}^n$

Henry Bosch

A Partial $ε$-Regularity Theorem for Integral Stationary Geodesic Networks in $\mathbb{R}^n$

Differential Geometry 2026-07-26 v1

Authors: Henry Bosch

Abstract

We prove a partial $\epsilon$ -regularity theorem for sequences of integer multiplicity stationary geodesic networks in $\mathbb{R}^n$ converging to a multiplicity $k$ line.

Cite

@article{arxiv.2607.23872,
  title  = {A Partial $ε$-Regularity Theorem for Integral Stationary Geodesic Networks in $\mathbb{R}^n$},
  author = {Henry Bosch},
  journal= {arXiv preprint arXiv:2607.23872},
  year   = {2026}
}