On the number of closed geodesics on a compact Riemannian manifold

DOI10.1215/S0012-7094-82-04932-8zbMath0495.53042OpenAlexW1608581682WikidataQ115240198 ScholiaQ115240198MaRDI QIDQ1169706

Wolfgang Ziller, Werner Ballmann

Publication date: 1982

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-82-04932-8

zbMATH Keywords

Morse indexJacobi fieldprincipal ideal domainclosed geodesicBetti numbersfree loop space

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

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