We prove the equidistribution of (weighted) periodic orbits for the geodesic flow on noncompact negatively curved manifolds toward equilibrium states in the narrow topology, i.e. in the dual of bounded continuous functions. We deduce an exact asymptotic counting for periodic orbits (weighted or not), which was previously known only for geometrically finite manifolds.

中文翻译：

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非紧流形上封闭测地线的窄等分布和计数

我们证明了在窄拓扑中，即在有界连续函数的对偶中，非紧负弯曲流形上的测地线流向平衡状态的（加权）周期轨道的等分布。我们推导出了周期性轨道（加权或不加权）的精确渐近计数，这在以前仅适用于几何有限流形。