English

Submetry onto one-dimensional space

Differential Geometry 2026-05-20 v2 Metric Geometry

Abstract

We provide the full classification of equidistant decomposition of a two-dimensional Euclidean plane and a two-dimensional sphere.

Keywords

Cite

@article{arxiv.2604.20562,
  title  = {Submetry onto one-dimensional space},
  author = {Darya Sukhorebska},
  journal= {arXiv preprint arXiv:2604.20562},
  year   = {2026}
}

Comments

16 pages, 7 figures, minor grammar corrections

R2 v1 2026-07-01T12:30:26.252Z