Trudy Matematicheskogo Instituta imeni V.A. Steklova
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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 288, Pages 171–183
DOI: https://doi.org/10.1134/S0371968515010124 (Mi tm3592) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On flexible polyhedral surfaces

M. I. Shtogrin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Full-text PDF (199 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0371968515010124
Abstract: We construct a closed orientable polyhedral surface of arbitrary genus that is embedded in three-dimensional Euclidean space and admits a one-parameter bending under which all its handles bend. This surface admits no other bendings. We also construct a flexible closed nonorientable polyhedral surface of arbitrary genus such that all its handles and Möbius strips bend during its bending.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received in January 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 288, Pages 153–164
DOI: https://doi.org/10.1134/S0081543815010125
Bibliographic databases:
Document Type: Article
UDC: 514.752.43
Language: Russian
Citation: M. I. Shtogrin, “On flexible polyhedral surfaces”, Geometry, topology, and applications, Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 288, MAIK Nauka/Interperiodica, Moscow, 2015, 171–183; Proc. Steklov Inst. Math., 288 (2015), 153–164
Citation in format AMSBIB
\Bibitem{Sht15}
\by M.~I.~Shtogrin
\paper On flexible polyhedral surfaces
\inbook Geometry, topology, and applications
\bookinfo Collected papers. Dedicated to Professor Nikolai Petrovich Dolbilin on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 288
\pages 171--183
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3592}
\crossref{https://doi.org/10.1134/S0371968515010124}
\elib{https://elibrary.ru/item.asp?id=23302189}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2015
\vol 288
\pages 153--164
\crossref{https://doi.org/10.1134/S0081543815010125}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000353881900012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928729066}
Linking options:
  • https://www.mathnet.ru/eng/tm3592
  • https://doi.org/10.1134/S0371968515010124
  • https://www.mathnet.ru/eng/tm/v288/p171
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024