AI 中文总结
针对5维凸余紧双曲反射群的相关问题,本文采用与Lee和Marquis不同的方法,构造了直角情形的对应例子。
AI 中文摘要
Lee和Marquis构造了5维凸余紧双曲反射群,其极限集同胚于3维球面,但它们的任何有限指数子群都无法实现为4维实双曲格;本文采用不同方法,提供了直角情形的例子。
英文摘要
Lee and Marquis exhibited convex cocompact hyperbolic reflection groups in dimension 5 whose limit sets are homeomorphic to the 3-sphere, but none of whose finite-index subgroups can be realized as 4-dimensional real hyperbolic lattices. Using different methods, we furnish right-angled examples.
Comments9 pages, 1 figure. Comments welcome