Homology of closed geodesics in a negatively curved manifold

DOI10.4310/jdg/1214441177zbMath0618.58028OpenAlexW1506261457WikidataQ115184729 ScholiaQ115184729MaRDI QIDQ1822394

Toshiaki Adachi, Toshikazu Sunada

Publication date: 1987

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214441177

zbMATH Keywords

geodesic flowAnosov

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (16)

Closed Orbits of an Anosov Flow and the Fundamental Group ⋮ Splitting of Geodesics in Homology Classes ⋮ Geodesics in homology classes ⋮ An explicit prime geodesic theorem for discrete tori and the hypergeometric functions ⋮ Twisted Perron-Frobenius theorem and \(L\)-functions ⋮ Anosov flows and dynamical zeta functions ⋮ Linking numbers of modular geodesics ⋮ Dynamical 𝐿-functions and homology of closed orbits ⋮ Equidistribution of holonomy about closed geodesics ⋮ Distribution of closed geodesics with a preassigned homology class in a negatively curved manifold ⋮ Growth in free groups (and other stories) -- twelve years later ⋮ THE PRIME GEODESIC THEOREM AND QUANTUM MECHANICS ON FINITE VOLUME GRAPHS: A REVIEW ⋮ Precise counting results for closed orbits of Anosov flows ⋮ Homologie des géodésiques fermées sur des variétés hyperboliques avec bouts cuspidaux ⋮ Closed orbits in homology classes ⋮ Geodesics in homology classes and periods of automorphic forms

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