Harmonic functions on manifolds with nonnegative Ricci curvature and linear volume growth

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Abstract

In this paper we prove that if a complete noncompact manifold with nonnegative Ricci curvature and linear volume growth has a nonconstant harmonic function of at most polynomial growth, then the manifold splits isometrically.

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APA

Sormani, C. (2000). Harmonic functions on manifolds with nonnegative Ricci curvature and linear volume growth. Pacific Journal of Mathematics, 192(1), 183–189. https://doi.org/10.2140/pjm.2000.192.183

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