Mirror symmetries of hyperbolic tetrahedral manifolds

Dmitry Alexandrovich Derevnin, Alexandr Dmitrievich Mednykh

Research output: Contribution to journalArticlepeer-review

Abstract

Let Λ be the group generated by reflections in faces of a Coxeter tetrahedron in the hyperbolic space 3: A tetrahedral manifold is a hyperbolic manifold M= 3=Γ uniformized by a torsion free subgroup Γ of the group Λ: By a mirror symmetry we mean an orientation reversing isometry of the manifold acting by reflection. The aim of the paper to investigate mirror symmetries of the tetrahedral manifolds.

Original languageEnglish
Pages (from-to)1850-1856
Number of pages7
JournalСибирские электронные математические известия
Volume15
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Automorphism group
  • Hyperbolic manifolds
  • Hyperbolic space
  • Isometry group
  • hyperbolic manifolds
  • POLYHEDRA
  • automorphism group
  • isometry group
  • hyperbolic space

OECD FOS+WOS

  • 1.01 MATHEMATICS

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