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.
CITATION STYLE
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
Mendeley helps you to discover research relevant for your work.