The complex Monge-Amp\`ere equation with a gradient term
Differential Geometry
2021-06-15 v1 Analysis of PDEs
Complex Variables
Abstract
We consider the complex Monge-Amp\`ere equation with an additional linear gradient term inside the determinant. We prove existence and uniqueness of solutions to this equation on compact Hermitian manifolds.
Keywords
Cite
@article{arxiv.1906.10034,
title = {The complex Monge-Amp\`ere equation with a gradient term},
author = {Valentino Tosatti and Ben Weinkove},
journal= {arXiv preprint arXiv:1906.10034},
year = {2021}
}
Comments
15 pages, to appear in Pure Applied Math. Quarterly's special issue for D.H. Phong's 65th birthday