Ambient Prime Geodesic Theorems on Hyperbolic 3-Manifolds
Ambient Prime Geodesic Theorems on Hyperbolic 3-Manifolds
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双曲 3 流形上的环境素数测地线定理
DOI：
10.1093/imrn/rnab048
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发表时间：
2021
影响因子：
1
通讯作者：
Milićević, Djordje
中科院分区：
文献类型：
--
作者：
Dever, Lindsay;Milićević, Djordje
我们证明了素数测地线定理，在一个紧双曲 3 流形上计算本原闭测地线，其长度和完整度在规定的区间内，允许收缩。我们的结果意味着完整度的有效均匀分布，并且收缩率和误差项的强度在长度和完整度上完全对称。
We prove prime geodesic theorems counting primitive closed geodesics on a compact hyperbolic 3-manifold with length and holonomy in prescribed intervals, which are allowed to shrink. Our results imply effective equidistribution of holonomy and have both the rate of shrinking and the strength of the error term fully symmetric in length and holonomy.