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

Authors
Citation
C. Sormani, Harmonic functions on manifolds with nonnegative Ricci curvature and linear volume growth, PAC J MATH, 192(1), 2000, pp. 183-189
Citations number
13
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
192
Issue
1
Year of publication
2000
Pages
183 - 189
Database
ISI
SICI code
0030-8730(200001)192:1<183:HFOMWN>2.0.ZU;2-3
Abstract
In this paper we prove that if a complete noncompact manifold with nonnegat ive Ricci curvature and linear volume growth has a nonconstant harmonic fun ction of at most polynomial growth, then the manifold splits isometrically.