Liouville theorems, Volume growth, and volume comparison for Ricci shrinkers
Differential Geometry
2018-07-25 v1 Analysis of PDEs
Abstract
In this paper, we study volume growth, Liouville theorem and the local gradient estimate for -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.
Keywords
Cite
@article{arxiv.1609.09332,
title = {Liouville theorems, Volume growth, and volume comparison for Ricci shrinkers},
author = {Li Ma},
journal= {arXiv preprint arXiv:1609.09332},
year = {2018}
}
Comments
14 pages