English

A gallery of open problems in geometry that keep me puzzled and amused

Differential Geometry 2025-10-15 v1 Metric Geometry

Abstract

This is a collection of open problems in geometry that I think of as puzzles: they stick to my brain -- I see many grips, but no spare hands. Puzzle-charm is the only criterion for including a problem here; importance is ignored.

Keywords

Cite

@article{arxiv.2510.11908,
  title  = {A gallery of open problems in geometry that keep me puzzled and amused},
  author = {Anton Petrunin},
  journal= {arXiv preprint arXiv:2510.11908},
  year   = {2025}
}

Comments

12 pages, 1 figure