调和函数的能量与Stallings定理的Gromov证明
Energy of harmonic functions and Gromov's proof of Stallings' theorem
摘要：
我们提供的细节格罗莫夫的证明Stallings'定理的团体与无穷多个结束使用调和函数。本文的主要技术结果是关于一类调和函数的紧性定理。
英文摘要：
We provide the details for Gromov's proof of Stallings' theorem on groups with infinitely many ends using harmonic functions. The main technical result of the paper is a compactness theorem for a certain family of harmonic functions.
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。
