论文标题
具有相同痕量环的不可固定的双曲线歧管
Non-commensurable hyperbolic manifolds with the same trace ring
论文作者
论文摘要
我们证明，对于任何$ n \ geq 3 $，具有相同的环境组和跟踪戒指的无限成对的不可固定的双曲线$ n $ manifolds。如果$ n \ geq 4 $，则可以选择歧管。
We prove that there are infinitely many pairwise non-commensurable hyperbolic $n$-manifolds that have the same ambient group and trace ring, for any $n \geq 3$. The manifolds can be chosen compact if $n \geq 4$.
