Russian Academy of Sciences. Izvestiya Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Russian Academy of Sciences. Izvestiya Mathematics, 1993, Volume 40, Issue 3, Pages 565–590
DOI: https://doi.org/10.1070/IM1993v040n03ABEH002177 (Mi im940) 		 
This article is cited in 4 scientific papers (total in 5 papers)

On the existence of three nonselfintersecting closed geodesics on manifolds homeomorphic to the 2-sphere

I. A. Taimanov

Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
English version PDF (1790 kB) Citations (5) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1993v040n03ABEH002177
Abstract: The author gives a complete proof of the Lyusternik–Shnirel'man theorem that on each smooth Riemannian manifold homeomorphic to the 2-sphere there exist at least three distinct nonselfintersecting closed geodesics (the proof by Lyusternik and Shnirel'man contains substantial gaps).
Received: 20.05.1991
Bibliographic databases:
UDC: 513.835
Language: English
Original paper language: Russian
Citation: I. A. Taimanov, “On the existence of three nonselfintersecting closed geodesics on manifolds homeomorphic to the 2-sphere”, Russian Acad. Sci. Izv. Math., 40:3 (1993), 565–590
Citation in format AMSBIB
\Bibitem{Tai92}
\by I.~A.~Taimanov
\paper On~the~existence of three nonselfintersecting closed geodesics on manifolds homeomorphic to the 2-sphere
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 40
\issue 3
\pages 565--590
\mathnet{http://mi.mathnet.ru//eng/im940}
\crossref{https://doi.org/10.1070/IM1993v040n03ABEH002177}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1188331}
\zmath{https://zbmath.org/?q=an:0787.53034|0771.53027}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993IzMat..40..565T}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LR56700005}
Linking options:
  • https://www.mathnet.ru/eng/im940
  • https://doi.org/10.1070/IM1993v040n03ABEH002177
  • https://www.mathnet.ru/eng/im/v56/i3/p605
    • 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
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:487
    Russian version PDF:167
    English version PDF:14
    References:87
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024