Characterizing candidates for Cannon's conjecture from geometric measure theory
Characterizing candidates for Cannon's conjecture from geometric measure theory
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DOI：
10.1112/blms.12814
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发表时间：
2022-07
影响因子：
0.9
通讯作者：
Tamunonye Cheetham-West;Alexander Nolte
中科院分区：
文献类型：
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作者：
Tamunonye Cheetham-West;Alexander Nolte
我们证明了Song最近的工作意味着具有Gromov边界S2 $S^2 $的无挠双曲群被实现为具有常负曲率的闭三维流形的基本群当且仅当群同调的相关球面Plateau问题的解等距于这样的三维流形，并提出了一些相关的问题.
We show that recent work of Song implies that torsion‐free hyperbolic groups with Gromov boundary S2$S^2$ arerealized as fundamental groups of closed 3‐manifolds of constant negative curvature if and only if the solution to an associated spherical Plateau problem for group homology is isometric to such a 3‐manifold, and suggest some related questions.