Geometrization of three-dimensional orbifolds via Ricci flow

Bruce Kleiner, John Lott

Research output: Contribution to journalArticlepeer-review


A three-dimensional closed orientable orbifold (with no bad suborbifolds) is known to have a geometric decomposition from work of Perelman in the manifold case, along with earlier work of Boileau-Leeb-Porti, Boileau-Maillot-Porti, Boileau-Porti, Cooper-Hodgson-Kerckhoff and Thurston. We give a new, logically independent, unified proof of the geometrization of orbifolds, using Ricci flow. Along the way we develop some tools for the geometry of orbifolds that may be of independent interest.

Original languageEnglish (US)
Pages (from-to)101-177
Number of pages77
Issue number365
StatePublished - 2014


  • Collapsing
  • Geometrization
  • Orbifold
  • Ricci flow

ASJC Scopus subject areas

  • General Mathematics


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