论文标题
嵌入Bianchi Orbifolds中的完全测量表面
Embedding closed totally geodesic surfaces in Bianchi orbifolds
论文作者
论文摘要
我们研究了Bianchi Orbifolds $ \ Mathbb {H}^3/psl（2，\ Mathcal {o} _d）$中的封闭封闭的完全测量双曲线2孔。我们的主要结果表明，有一个恒定的$ c $，因此，对于$ d $，至少有$ cd $封闭的嵌入式嵌入式完全测量双曲线2孔。此外，我们提供了一份列表，该列表由$ \ mathbb {h}^3/psl（2，\ Mathcal {o} _d）$组成的那些$ d $组成。
We study embedding of closed totally geodesic hyperbolic 2-orbifolds in the Bianchi orbifolds $\mathbb{H}^3/PSL(2,\mathcal{O}_d)$. Our main result shows that there is a constant $c$ such that for $d$ large enough there are at least $cd$ closed embedded totally geodesic hyperbolic 2-orbifolds. Moreover we provide a list which conjecturally consists of those $d$ for which $\mathbb{H}^3/PSL(2,\mathcal{O}_d)$ does not contain a closed embedded totally geodesic hyperbolic 2-orbifold.
