Closed orbits for the diagonal group and well-rounded lattices

Michael Levin, Uri Shapira, Barak Weiss

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Curt McMullen showed that every compact orbit for the action of the diagonal group on the space of lattices contains a well-rounded lattice. We extend this to all closed orbits.

Original languageEnglish
Pages (from-to)1211-1225
Number of pages15
JournalGroups, Geometry, and Dynamics
Issue number4
StatePublished - 1 Jan 2016


  • Closed orbits
  • Diagonal group
  • Well-rounded lattices

ASJC Scopus subject areas

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


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