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The type numbers of closed geodesics

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Abstract

This is a short survey on the type numbers of closed geodesics, on applications of the Morse theory to proving the existence of closed geodesics and on the recent progress in applying variational methods to the periodic problem for Finsler and magnetic geodesics.

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  1. S.L. Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, 630090, Novosibirsk, Russia

    I. A. Taimanov

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  1. I. A. Taimanov
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Correspondence to I. A. Taimanov.

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A translation of an appendix to the Russian edition of “Calculus of variations in the large” by M.Morse. The work was supported by the Russian Foundation of Basic Research (grant 09-01-00598) and Max Planck Institute for Mathematics in Bonn.

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Taimanov, I.A. The type numbers of closed geodesics. Regul. Chaot. Dyn. 15, 84–100 (2010). https://doi.org/10.1134/S1560354710010053

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