Two remarks on the length spectrum of a Riemannian manifold

DOI10.1090/S0002-9939-2011-10815-3zbMath1229.53051OpenAlexW2076915268WikidataQ115289284 ScholiaQ115289284MaRDI QIDQ3103285

Benjamin Schmidt, Craig J. Sutton

Publication date: 7 December 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10815-3

zbMATH Keywords

length spectrumbumpy metricdiscrete subsetprime closed geodesics

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22)

Related Items (2)

Geodesics on a K3 surface near the orbifold limit ⋮ Optimal Curvature Estimates for Homogeneous Ricci Flows

Cites Work

• Sunada's method and the covering spectrum
• The type numbers of closed geodesics
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Length spectra and \(p\)-spectra of compact flat manifolds
• Formule de Poisson pour les variétés riemanniennes
• The covering spectrum of a compact length space
• Morse Theory. (AM-51)
• Differential Topology
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