English

Existence of a non-standard isoperimetric triple partition

Analysis of PDEs 2025-07-21 v1 Differential Geometry

Abstract

We show existence of a isoperimetric 33-partition of R8\mathbb R^8, with one set of finite volume and two of infinite volume, which is asymptotic to a singular minimal cone.

Keywords

Cite

@article{arxiv.2507.14112,
  title  = {Existence of a non-standard isoperimetric triple partition},
  author = {Matteo Novaga and Emanuele Paolini and Vincenzo Maria Tortorelli},
  journal= {arXiv preprint arXiv:2507.14112},
  year   = {2025}
}