Liouville theorems, Volume growth, and volume comparison for Ricci shrinkers
arXiv:1609.09332 · doi:10.2140/pjm.2018.296.357
Abstract
In this paper, we study volume growth, Liouville theorem and the local gradient estimate for $f$-harmonic functions, and volume comparison property of unit balls in complete noncompact gradient Ricci shrinkers. We also study integral properties of f-harmonic functions and harmonic functions on such manifolds.
14 pages