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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2013, номер 2-3, страницы 80–89 (Mi basm340)

On a four-dimensional hyperbolic manifold with finite volume

I. S. Gutsul

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, 5 Academiei str., Chişinău, MD-2028 Moldova

Аннотация: In article [1] the authors construct and classify all the hyperbolic space-forms $H^n/\Gamma$ where $\Gamma$ is a torsion-free subgroup of minimal index in the congruence two subgroup $\Gamma_2^n$ for $n=3,4$. In the present paper some hyperbolic $3$- and $4$-manifolds are constructed that are absent in [1].

Ключевые слова и фразы: hyperbolic manifolds, $4$-manifolds, volume, $24$-cells.

MSC: 51M10, 53C25

Поступила в редакцию: 18.03.2013

Язык публикации: английский



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