Morse theory, closed geodesics, and the homology of free loop spaces

zbMath1377.53001arXiv1406.3107MaRDI QIDQ5283728

Alexandru Oancea

Publication date: 24 July 2017

Full work available at URL: https://arxiv.org/abs/1406.3107

zbMATH Keywords

Morse theoryclosed geodesicshomology of loop spacesGromoll-Meyer theoremLuysternik-Schnirelmann theorem

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Loop spaces (55P35) Geodesics in global differential geometry (53C22) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02)

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