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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)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1992, Volume 56, Issue 3, Pages 605–635
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”, Izv. RAN. Ser. Mat., 56:3 (1992), 605–635; Russian Acad. Sci. Izv. Math., 40:3 (1993), 565–590
Citation in format AMSBIB
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\pages 605--635
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\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 40
\issue 3
\pages 565--590
\crossref{https://doi.org/10.1070/IM1993v040n03ABEH002177}
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  • 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
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    Abstract page:477
    Russian version PDF:167
    English version PDF:13
    References:85
    First page:3
     
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