The smallest hyperbolic 6-manifolds

B Everitt, J Ratcliffe, S Tschantz

Research output: Contribution to journalArticlepeer-review

Abstract

By gluing together copies of an all right-angled Coxeter polytope a number of open hyperbolic 6-manifolds with Euler characteristic - 1 are constructed. They are the first known examples of hyperbolic 6-manifolds having the smallest possible volume.

Original languageEnglish
Pages (from-to)40-46
Number of pages7
JournalElectronic research announcements of the american mathematical society
Volume11
DOIs
Publication statusPublished - 2005

Keywords

  • MANIFOLDS
  • 3-MANIFOLDS
  • VOLUMES

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