Geodesic
The spaces of non-contractible closed curves in compact space forms
Sbornik. Mathematics, Tome 207 (2016) no. 10, pp. 1458-1470

Voir la notice de l'article provenant de la source Math-Net.Ru

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, closed geodesics.
Mots-clés : rational cohomologies 
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     author = {I. A. Taimanov},
     title = {The spaces of non-contractible closed curves in compact space forms},
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I. A. Taimanov. The spaces of non-contractible closed curves in compact space forms. Sbornik. Mathematics, Tome 207 (2016) no. 10, pp. 1458-1470. http://geodesic.mathdoc.fr/item/SM_2016_207_10_a6/