English

Hyperbolic orbifolds of small volume

Metric Geometry 2014-06-16 v3 Geometric Topology

Abstract

Volume is a natural measure of complexity of a Riemannian manifold. In this survey, we discuss the results and conjectures concerning n-dimensional hyperbolic manifolds and orbifolds of small volume.

Keywords

Cite

@article{arxiv.1402.5394,
  title  = {Hyperbolic orbifolds of small volume},
  author = {Mikhail Belolipetsky},
  journal= {arXiv preprint arXiv:1402.5394},
  year   = {2014}
}

Comments

16 pages, 1 figure, article for Proceedings of the ICM 2014; v2, v3: small corrections

R2 v1 2026-06-22T03:13:23.007Z