论文标题
双曲线链接的测地界补充在双曲线$ 3 $ -MANIFOLD
Geodesic Bounds of Hyperbolic Link Complements in Hyperbolic $3$-Manifold
论文作者
论文摘要
令$ m $为紧凑的双曲线$ 3 $ - manifold，带有卷$ v $。让$ l $为链接，使得$ m \ setminus l $是双曲线。对于任何$ m $中的双曲线链接$ l $，在本文中，我们试图建立$ n^{th} $的上限，最短的封闭地球封闭的封闭地理位生为$ v $。
Let $M$ be a compact hyperbolic $3$-manifold with volume $V$. Let $L$ be a link such that $M\setminus L$ is hyperbolic. For any hyperbolic link $L$ in $M$, in this article, we try to establish an upper bound of the length of $n^{th}$ shortest closed geodesic of $M\setminus L$ in terms of $V$.
