English

Universality theorem for LNE H\"older triangles

Algebraic Geometry 2024-11-30 v1 Geometric Topology Metric Geometry

Abstract

We compare ambient and outer Lipschitz geometry of Lipschitz normally embedded H\"older triangles in R4\mathbb{R}^4. In contrast to the case of R3\mathbb{R}^3 there are infinitely many equivalence classes. The equivalence classes are related to the so-called microknots.

Keywords

Cite

@article{arxiv.2410.09532,
  title  = {Universality theorem for LNE H\"older triangles},
  author = {Lev Birbrair and Maciej Denkowski and Davi Lopes Medeiros and José Edson Sampaio},
  journal= {arXiv preprint arXiv:2410.09532},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2311.18570

R2 v1 2026-06-28T19:19:01.471Z