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

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	Siberian Electronic Mathematical Reports
Том	15
DOI	https://doi.org/10.33048/semi.2018.15.149
Состояние	Опубликовано - 1 янв 2018

Доступ к документу

10.33048/semi.2018.15.149

Link to publication in Scopus

Fingerprint Подробные сведения о темах исследования «Mirror symmetries of hyperbolic tetrahedral manifolds». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

Derevnin, D. A., & Mednykh, A. D. (2018). Mirror symmetries of hyperbolic tetrahedral manifolds. Siberian Electronic Mathematical Reports, 15, 1850-1856. https://doi.org/10.33048/semi.2018.15.149

@article{a214d3ca0e2443dfb88ad38b92c59d97,

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 = "Siberian Electronic Mathematical Reports",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

}

TY - JOUR

T1 - Mirror symmetries of hyperbolic tetrahedral manifolds

AU - Derevnin, Dmitry Alexandrovich

AU - Mednykh, Alexandr Dmitrievich

PY - 2018/1/1

Y1 - 2018/1/1

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

UR - http://www.scopus.com/inward/record.url?scp=85074909946&partnerID=8YFLogxK

U2 - 10.33048/semi.2018.15.149

DO - 10.33048/semi.2018.15.149

M3 - Article

AN - SCOPUS:85074909946

VL - 15

SP - 1850

EP - 1856

JO - Siberian Electronic Mathematical Reports

JF - Siberian Electronic Mathematical Reports

SN - 1813-3304

ER -