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Mathematics of the USSR-Sbornik, 1970, Volume 10, Issue 3, Pages 413–440
DOI: https://doi.org/10.1070/SM1970v010n03ABEH001677
(Mi sm3382)
 

This article is cited in 131 scientific papers (total in 134 papers)

On convex polyhedra in Lobachevskii spaces

E. M. Andreev
References:
Abstract: This paper is concerned with the investigation of properties of convex polyhedra in Lobachevskii spaces; it gives a complete description of convex bounded polyhedra with dihedral angles not exceeding $90^\circ$, in a three-dimensional Lobachevskii space. This in turn permits a description of the discrete groups generated by reflections acting in the three-dimensional Lobachevskii space with a compact fundamental region.
Figures: 6.
Bibliography: 6 titles.
Received: 03.06.1969
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1970, Volume 81(123), Number 3, Pages 445–478
Bibliographic databases:
UDC: 513.34+513.812
Language: English
Original paper language: Russian
Citation: E. M. Andreev, “On convex polyhedra in Lobachevskii spaces”, Mat. Sb. (N.S.), 81(123):3 (1970), 445–478; Math. USSR-Sb., 10:3 (1970), 413–440
Citation in format AMSBIB
\Bibitem{And70}
\by E.~M.~Andreev
\paper On~convex polyhedra in Lobachevskii spaces
\jour Mat. Sb. (N.S.)
\yr 1970
\vol 81(123)
\issue 3
\pages 445--478
\mathnet{http://mi.mathnet.ru/sm3382}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=259734}
\zmath{https://zbmath.org/?q=an:0194.23202|0217.46801}
\transl
\jour Math. USSR-Sb.
\yr 1970
\vol 10
\issue 3
\pages 413--440
\crossref{https://doi.org/10.1070/SM1970v010n03ABEH001677}
Linking options:
  • https://www.mathnet.ru/eng/sm3382
  • https://doi.org/10.1070/SM1970v010n03ABEH001677
  • https://www.mathnet.ru/eng/sm/v123/i3/p445
  • This publication is cited in the following 134 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:1368
    Russian version PDF:647
    English version PDF:29
    References:84
    First page:1
     
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