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Mathematics of the USSR-Izvestiya, 1990, Volume 34, Issue 3, Pages 517–553
DOI: https://doi.org/10.1070/IM1990v034n03ABEH000668
(Mi im1253)
 

This article is cited in 4 scientific papers (total in 4 papers)

On the topological and metric types of surfaces regularly covering a closed surface

R. I. Grigorchuk
References:
Abstract: A description is given of the topological types (of which there are six) of noncompact surfaces that can cover a closed surface in a regular fashion. For each of the six topological types, a computation is made of the number of equimorphic types of such surfaces that are equipped with the structure of a Riemannian $2$-manifold regularly covering a closed Riemannian $2$-manifold.
Bibliography: 34 titles.
Received: 14.03.1987
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1989, Volume 53, Issue 3, Pages 498–536
Bibliographic databases:
Document Type: Article
UDC: 515.1
MSC: Primary 53C30; Secondary 30C60, 30F10, 30F20, 30F40, 57M10
Language: English
Original paper language: Russian
Citation: R. I. Grigorchuk, “On the topological and metric types of surfaces regularly covering a closed surface”, Izv. Akad. Nauk SSSR Ser. Mat., 53:3 (1989), 498–536; Math. USSR-Izv., 34:3 (1990), 517–553
Citation in format AMSBIB
\Bibitem{Gri89}
\by R.~I.~Grigorchuk
\paper On the topological and metric types of surfaces regularly covering a~closed surface
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1989
\vol 53
\issue 3
\pages 498--536
\mathnet{http://mi.mathnet.ru/im1253}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1013710}
\zmath{https://zbmath.org/?q=an:0702.57001|0686.57001}
\transl
\jour Math. USSR-Izv.
\yr 1990
\vol 34
\issue 3
\pages 517--553
\crossref{https://doi.org/10.1070/IM1990v034n03ABEH000668}
Linking options:
  • https://www.mathnet.ru/eng/im1253
  • https://doi.org/10.1070/IM1990v034n03ABEH000668
  • https://www.mathnet.ru/eng/im/v53/i3/p498
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:393
    Russian version PDF:101
    English version PDF:12
    References:63
    First page:1
     
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