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

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	1850-1856
Число страниц	7
Журнал	Сибирские электронные математические известия
Том	15
DOI	https://doi.org/10.33048/semi.2018.15.149
Состояние	Опубликовано - 1 янв 2018

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

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10.33048/semi.2018.15.149

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title = "Mirror symmetries of hyperbolic tetrahedral manifolds",

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",

month = jan,

day = "1",

doi = "10.33048/semi.2018.15.149",

language = "English",

volume = "15",

pages = "1850--1856",

journal = "Сибирские электронные математические известия",

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Mirror symmetries of hyperbolic tetrahedral manifolds. / Derevnin, Dmitry Alexandrovich; Mednykh, Alexandr Dmitrievich.

В: Сибирские электронные математические известия, Том 15, 01.01.2018, стр. 1850-1856.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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AU - Derevnin, Dmitry Alexandrovich

AU - Mednykh, Alexandr Dmitrievich

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N2 - 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.

AB - 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.

KW - Automorphism group

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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JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

Mirror symmetries of hyperbolic tetrahedral manifolds

Аннотация

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