Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sbornik: Mathematics, 2012, Volume 203, Issue 9, Pages 1310–1341
DOI: https://doi.org/10.1070/SM2012v203n09ABEH004266 (Mi sm7836) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Simple partitions of a hyperbolic plane of positive curvature

L. N. Romakina

Saratov State University named after N. G. Chernyshevsky
English version PDF (497 kB) Citations (23)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2012v203n09ABEH004266
Abstract: We construct special monohedral isotropic partitions with symmetries of the hyperbolic plane $\widehat H$ of positive curvature with a simple 4-contour as a cell. An analogue of mosaic in these partitions called a tiling is introduced. Also we consider some fractal tilings. The existence of band tilings in each homological series with code $(m, n)$ is proved.
Bibliography: 14 titles.
Keywords: hyperbolic plane of positive curvature, tiling, band tiling, simple tiled and almost tiled partition of the plane $\widehat H$.
Received: 25.12.2010 and 18.04.2012
Russian version:
Matematicheskii Sbornik, 2012, Volume 203, Number 9, Pages 83–116
DOI: https://doi.org/10.4213/sm7836
Bibliographic databases:
Document Type: Article
UDC: 514.133+514.174.5
MSC: Primary 51M10, 51M20; Secondary 52C20
Language: English
Original paper language: Russian
Citation: L. N. Romakina, “Simple partitions of a hyperbolic plane of positive curvature”, Mat. Sb., 203:9 (2012), 83–116; Sb. Math., 203:9 (2012), 1310–1341
Citation in format AMSBIB
\Bibitem{Rom12}
\by L.~N.~Romakina
\paper Simple partitions of a~hyperbolic plane of positive curvature
\jour Mat. Sb.
\yr 2012
\vol 203
\issue 9
\pages 83--116
\mathnet{http://mi.mathnet.ru/sm7836}
\crossref{https://doi.org/10.4213/sm7836}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3024832}
\zmath{https://zbmath.org/?q=an:06134389}
\elib{https://elibrary.ru/item.asp?id=19066589}
\transl
\jour Sb. Math.
\yr 2012
\vol 203
\issue 9
\pages 1310--1341
\crossref{https://doi.org/10.1070/SM2012v203n09ABEH004266}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000310980400005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84869072387}
Linking options:
  • https://www.mathnet.ru/eng/sm7836
  • https://doi.org/10.1070/SM2012v203n09ABEH004266
  • https://www.mathnet.ru/eng/sm/v203/i9/p83
    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:669
    Russian version PDF:333
    English version PDF:25
    References:52
    First page:49
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024