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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2007, Volume 4, Pages 605–609 (Mi semr174)  
This article is cited in 2 scientific papers (total in 2 papers)

Research papers

Löbell manifolds revised

A. D. Mednykh, A. Yu. Vesnin

Sobolev Institute of Mathematics, Novosibirsk, Russia
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Abstract: The first example of a closed orientable hyperbolic $3$-manifold was constructed by F. Löbell in 1931. It was an affirmative answer to the Köbe question on the existence of hyperbolic $3$-forms. In the present paper we give a short survey of some related results and obtain a simple analytic formula for the volume of the Löbell manifold as well as for volumes of Humbert manifolds.
Received December 15, 2007, published December 28, 2007
Bibliographic databases:
Document Type: Article
UDC: 514.132
MSC: 57M27
Language: English
Citation: A. D. Mednykh, A. Yu. Vesnin, “Löbell manifolds revised”, Sib. Èlektron. Mat. Izv., 4 (2007), 605–609
Citation in format AMSBIB
\Bibitem{MedVes07}
\by A.~D.~Mednykh, A.~Yu.~Vesnin
\paper L\"obell manifolds revised
\jour Sib. \`Elektron. Mat. Izv.
\yr 2007
\vol 4
\pages 605--609
\mathnet{http://mi.mathnet.ru/semr174}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2465443}
\zmath{https://zbmath.org/?q=an:1132.57300}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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