Analytic torsion and closed geodesics on hyperbolic manifolds
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Publication:1089932
DOI10.1007/BF01388745zbMath0621.53035MaRDI QIDQ1089932
Publication date: 1986
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143350
hyperbolic manifoldReidemeister torsionclosed geodesicsdeterminants of Laplaciansanalytic torsion of Ray-Singer
Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Determinants and determinant bundles, analytic torsion (58J52)
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Cites Work
- Unnamed Item
- Unnamed Item
- Homological identities for closed orbits
- Determinants of Cauchy-Riemann operators on a Riemann surface
- Selberg type zeta functions for the group of complex two by two matrices of determinant one
- Knots, links, and symbolic dynamics
- Zeta functions of Selberg's type for compact space forms of symmetric spaces of rank one
- Analytic torsion and R-torsion of Riemannian manifolds
- Closed geodesics and the \(\eta\)-invariant
- Analytic torsion and the heat equation
- A Lefschetz fixed point formula for elliptic complexes. I
- The Whitehead torsion of the total space of a fiber bundle
- R-torsion and the Laplacian on Riemannian manifolds
- Analytic torsion for complex manifolds
- On the Analytic Torsion and Eta Invariant for Negatively Curved Manifolds
- The Minakshisundaram-Pleijel Coefficients for the Vector Valued Heat Kernel on Compact Locally Symmetric Spaces of Negative Curvature
- On the Analytic Continuation of the Minakshisundaram-Pleijel Zeta Function for Compact Riemann Surfaces
- On the Selberg trace formula in the case of compact quotient
- Whitehead torsion