English

A hardness of approximation result in metric geometry

Differential Geometry 2020-08-24 v2 Computational Geometry Metric Geometry

Abstract

We show that it is NP\mathsf{NP}-hard to approximate the hyperspherical radius of a triangulated manifold up to an almost-polynomial factor.

Cite

@article{arxiv.1908.02824,
  title  = {A hardness of approximation result in metric geometry},
  author = {Zarathustra Brady and Larry Guth and Fedor Manin},
  journal= {arXiv preprint arXiv:1908.02824},
  year   = {2020}
}

Comments

21 pages, final version to appear in Selecta Math

R2 v1 2026-06-23T10:42:28.436Z