用几何测度论刻画Cannon猜想的候选猜想
Characterizing candidates for Cannon's Conjecture from Geometric Measure Theory
摘要：
我们证明了Song最近的工作意味着具有Gromov边界$S^2$的挠自由双曲群被实现为具有常负曲率的闭3-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3-流形，并提出了一些相关的问题.
英文摘要：
We show that recent work of Song implies that torsion-free hyperbolic groups with Gromov boundary $S^2$ are realized 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
