Narrow equidistribution and counting of closed geodesics on noncompact manifolds
Narrow equidistribution and counting of closed geodesics on noncompact manifolds
复制标题
非紧流形上闭测地线的窄等分布和计数
DOI：
10.4171/ggd/624
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
S. Tapie
中科院分区：
文献类型：
--
作者：
Barbara Schapira;S. Tapie
证明了非紧负曲流形上的测地线ow在窄拓扑中，即在有界连续函数的对偶中，朝向平衡态的（加权）周期轨道的等分布性。我们推导出一个精确的渐近计数周期轨道（加权或不），这是以前只知道几何有限流形。
We prove the equidistribution of (weighted) periodic orbits of the geodesic ow 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.