A Liouville Theorem for the Complex Monge-Amp\`ere Equation
Analysis of PDEs
2013-03-12 v1 Differential Geometry
Abstract
In this note, we derive a Liouville theorem for the complex Monge-Amp\`ere equation. Our result states that if the global solution of the complex Monge-Amp\`ere equation with constant right-hand side differs from a quadratic polynomial solution by at infinity, then is a quadratic polynomial.
Cite
@article{arxiv.1303.2403,
title = {A Liouville Theorem for the Complex Monge-Amp\`ere Equation},
author = {Yu Wang},
journal= {arXiv preprint arXiv:1303.2403},
year = {2013}
}