Homology of closed geodesics in a negatively curved manifold
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Publication:1822394
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
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)
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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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