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Sbornik: Mathematics, 2016, Volume 207, Issue 10, Pages 1458–1470
DOI: https://doi.org/10.1070/SM8708 (Mi sm8708) 		 
This article is cited in 11 scientific papers (total in 11 papers)

The spaces of non-contractible closed curves in compact space forms

I. A. Taimanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
English version PDF (457 kB) Citations (11)
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DOI: https://doi.org/10.1070/SM8708
Abstract: The rational equivariant cohomology of noncontractible loop spaces is calculated for compact space forms. It is also shown how to use these calculations to establish the existence of closed geodesics.
Bibliography: 18 titles.
Keywords: spaces of closed curves, rational cohomologies, closed geodesics.
Funding agency Grant number
Russian Science Foundation 14-11-00441
This research was supported by the Russian Science Foundation (project no. 14-11-00441).
Received: 31.03.2016 and 20.07.2016
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 10, Pages 105–118
DOI: https://doi.org/10.4213/sm8708
Bibliographic databases:
Document Type: Article
UDC: 515.146+517.974
MSC: 53C22, 53C60, 55P35
Language: English
Original paper language: Russian
Citation: I. A. Taimanov, “The spaces of non-contractible closed curves in compact space forms”, Mat. Sb., 207:10 (2016), 105–118; Sb. Math., 207:10 (2016), 1458–1470
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:517
    Russian version PDF:71
    English version PDF:10
    References:83
    First page:53
     
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