Distribution of closed geodesics with a preassigned homology class in a negatively curved manifold

DOI10.1017/S0027763000002865zbMath0672.58039OpenAlexW1550905890MaRDI QIDQ3825805

Toshiaki Adachi

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1017/s0027763000002865

zbMATH Keywords

Riemannian geometryAnosov flowsgeodesic floworbital measures

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems with hyperbolic behavior (37D99)

Cites Work

• An analogue of the prime number theorem for closed orbits of Axiom A flows
• Meromorphic extensions of generalised zeta functions
• Twisted Perron-Frobenius theorem and \(L\)-functions
• Homology of closed geodesics in a negatively curved manifold
• When is a geodesic flow of Anosov type, I
• Markov families for Anosov flows with an involutive action
• Symbolic Dynamics for Hyperbolic Flows
• The Equidistribution of Closed Geodesics
• Periodic Orbits for Hyperbolic Flows

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