The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds

Mihajlo Cekić, Benjamin Delarue, Semyon Dyatlov +1

We show that for a generic conformal metric perturbation of a compact hyperbolic 3-manifold $\Sigma$ with Betti number $b_1$, the order of vanishing of the Ruelle zeta function at zero…