Geodesic
Mirror symmetries of hyperbolic tetrahedral manifolds
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1850-1856

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Let $\Lambda$ be the group generated by reflections in faces of a Coxeter tetrahedron in the hyperbolic space $\mathbb{H}^3$. A tetrahedral manifold is a hyperbolic manifold $\mathcal{M}=\mathbb{H}^3/\Gamma$ uniformized by a torsion free subgroup $\Gamma$ of the group $\Lambda$. 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: hyperbolic space, isometry group, hyperbolic manifolds.
Mots-clés : automorphism group 
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     author = {D. A. Derevnin and A. D. Mednykh},
     title = {Mirror symmetries of hyperbolic tetrahedral manifolds},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1850--1856},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a57/}
}
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D. A. Derevnin; A. D. Mednykh. Mirror symmetries of hyperbolic tetrahedral manifolds. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1850-1856. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a57/