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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
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.
Received: 31.03.2016 and 20.07.2016
Citation:
I. A. Taimanov, “The spaces of non-contractible closed curves in compact space forms”, Sb. Math., 207:10 (2016), 1458–1470
Linking options:
https://www.mathnet.ru/eng/sm8708https://doi.org/10.1070/SM8708 https://www.mathnet.ru/eng/sm/v207/i10/p105
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