Harmonic Functions On Manifolds Whose Large Sphere Are Small
Differential Geometry
2015-03-19 v1
Abstract
We study the growth of harmonic functions on complete Riemann-ian manifolds where the extrinsic diameter of geodesic spheres is sublinear. It is an generalization of a result of A. Kazue. We also get a Cheng and Yau estimates for the gradient of harmonic functions.
Cite
@article{arxiv.1503.05506,
title = {Harmonic Functions On Manifolds Whose Large Sphere Are Small},
author = {Gilles Carron},
journal= {arXiv preprint arXiv:1503.05506},
year = {2015}
}