Energy of harmonic functions and Gromov's proof of Stallings' theorem

Michael Kapovich

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arXiv · 0707.4231

Energy of harmonic functions and Gromov's proof of Stallings' theorem

Michael Kapovich

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Abstract

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.

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Michael Kapovich. 2007-07-28. Energy of harmonic functions and Gromov's proof of Stallings' theorem. https://arxiv.org/abs/0707.4231

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