The complex Monge-Ampère equation with a gradient term
arXiv:1906.10034 · doi:10.4310/PAMQ.2021.v17.n3.a7
Abstract
We consider the complex Monge-Ampère equation with an additional linear gradient term inside the determinant. We prove existence and uniqueness of solutions to this equation on compact Hermitian manifolds.
15 pages, to appear in Pure Applied Math. Quarterly's special issue for D.H. Phong's 65th birthday