Mirror symmetries of hyperbolic tetrahedral manifolds

Dmitry Alexandrovich Derevnin; Alexandr Dmitrievich Mednykh

doi:10.33048/semi.2018.15.149

Mirror symmetries of hyperbolic tetrahedral manifolds

Dmitry Alexandrovich Derevnin, Alexandr Dmitrievich Mednykh

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1850-1856
Number of pages	7
Journal	Сибирские электронные математические известия
Volume	15
DOIs	https://doi.org/10.33048/semi.2018.15.149
Publication status	Published - 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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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.",

keywords = "Automorphism group, Hyperbolic manifolds, Hyperbolic space, Isometry group, hyperbolic manifolds, POLYHEDRA, automorphism group, isometry group, hyperbolic space",

author = "Derevnin, {Dmitry Alexandrovich} and Mednykh, {Alexandr Dmitrievich}",

year = "2018",

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KW - Hyperbolic manifolds

KW - Hyperbolic space

KW - Isometry group

KW - hyperbolic manifolds

KW - POLYHEDRA

KW - automorphism group

KW - isometry group

KW - hyperbolic space

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