Torsion and closed geodesics on complex hyperbolic manifolds

DOI10.1007/BF01404911zbMath0658.53061MaRDI QIDQ1111177

David Fried

Publication date: 1988

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143530

zbMATH Keywords

geodesic flowindexKähler manifoldshyperbolic manifolds\({\bar \partial }\)-torsionAtiyah-Bott indicesSelberg functions

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex manifolds (32Q99) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (13)

Zeta functions and periodic orbit theory: A review ⋮ Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps ⋮ Gallagherian PGT on some compact Riemannian manifolds of negative curvature ⋮ Meromorphic zeta functions for analytic flows ⋮ The zeta functions of Ruelle and Selberg. I ⋮ Holomorphic torsion and closed geodesics ⋮ Analytic torsions on contact manifolds ⋮ Delocalized \(L^2\)-invariants ⋮ \(\overline\partial\)-torsion, foliations and holomorphic vector fields ⋮ The hypoelliptic Laplacian on the cotangent bundle ⋮ Analytic torsion of Hirzebruch surfaces ⋮ Analytic Torsion and Dynamical Flow:A Survey on the Fried Conjecture ⋮ The semiclassical zeta function for geodesic flows on negatively curved manifolds

Cites Work

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