SOME HOMOLOGY CLASSES IN THE SPACE OF CLOSED CURVES IN THEn-DIMENSIONAL SPHERE

DOI10.1070/IM1982v018n03ABEH001392zbMath0488.58007OpenAlexW2021565110MaRDI QIDQ3949694

D. V. Anosov

Publication date: 1982

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1982v018n03abeh001392

zbMATH Keywords

Schubert cyclesclosed geodesics on the spherehomologies in the space of closed curves on n-dimensional spherespace of great circles

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Manifolds of mappings (58D15) Singular homology and cohomology theory (55N10)

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