Universality theorem for LNE Hölder triangles

Abstract

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

arXiv admin note: text overlap with arXiv:2311.18570