Vol. 192, No. 1, 2000

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

Christina Sormani

Vol. 192 (2000), No. 1, 183–189
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.

Milestones
Received: 3 April 1998
Published: 1 January 2000
Authors
Christina Sormani
Johns Hopkins University
Baltimore, MD 21218