The differential zeta function for axiom A attractors (Q915222)

The main result of the paper is the following Theorem. Let \(\phi_ t: \Lambda \to \Lambda\) be a \(C^{\infty}\) Axiom A flow restricted to an attractor \(\Lambda\), for which the unstable bundle is one-dimensional, then the differential zeta function \(\zeta^{\mu}(s)\) has a meromorphic extension to the entire complex plane \({\mathbb{C}}.\) As an application, some consequences on geodesic flows for compact surfaces of (variable) negative curvature are derived.