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- W2990582918 abstract "We study the twisted Ruelle zeta function $$zeta _X(s)$$ for smooth Anosov vector fields X acting on flat vector bundles over smooth compact manifolds. In dimension 3, we prove the Fried conjecture, relating Reidemeister torsion and $$zeta _X(0)$$. In higher dimensions, we show more generally that $$zeta _X(0)$$ is locally constant with respect to the vector field X under a spectral condition. As a consequence, we also show the Fried conjecture for Anosov flows near the geodesic flow on the unit tangent bundle of hyperbolic 3-manifolds. This gives the first examples of non-analytic Anosov flows and geodesic flows in variable negative curvature where the Fried conjecture holds true." @default.
- W2990582918 created "2019-12-05" @default.
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- W2990582918 date "2019-11-27" @default.
- W2990582918 modified "2023-10-18" @default.
- W2990582918 title "The Fried conjecture in small dimensions" @default.
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- W2990582918 doi "https://doi.org/10.1007/s00222-019-00935-9" @default.
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