论文标题
周围质量测量定理在双曲线3个manifolds上
Ambient prime geodesic theorems on hyperbolic 3-manifolds
论文作者
论文摘要
我们证明，在紧凑的双曲线3个序列上计算原始封闭测量学的原始定理，其长度和固体间隔，允许收缩。我们的结果意味着对载体的有效等分，并且具有缩小速度和误差项的强度，其长度和整体上完全对称。
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.
