Carleman Estimate for Surface in Euclidean Space at Infinity
Differential Geometry
2017-03-28 v1
Abstract
This paper develops a Carleman type estimate for immersed surface in Euclidean space at infinity. With this estimate, we obtain an unique continuation property for harmonic functions on immersed surfaces vanishing at infinity, which leads to rigidity results in geometry.
Keywords
Cite
@article{arxiv.1703.08759,
title = {Carleman Estimate for Surface in Euclidean Space at Infinity},
author = {Ao Sun},
journal= {arXiv preprint arXiv:1703.08759},
year = {2017}
}