Liouville type theorems for minimal graphs over manifolds
Differential Geometry
2021-09-08 v1 Metric Geometry
Abstract
Let be a complete Riemannian manifold with the volume doubling property and the uniform Neumann-Poincar inequality. We show that any positive minimal graphic function on is a constant.
Cite
@article{arxiv.1911.10306,
title = {Liouville type theorems for minimal graphs over manifolds},
author = {Qi Ding},
journal= {arXiv preprint arXiv:1911.10306},
year = {2021}
}