Complex Monge-Ampere equations on Hermitian manifolds
Differential Geometry
2009-06-22 v1 Complex Variables
Abstract
We study complex Monge-Ampere equations on Hermitian manifolds, extending classical existence results of Yau and Aubin in the Kahler case, and those of Caffarelli, Kohn, Nirenberg and Spruck for the Dirichlet problem in . As an application we generalize existing results on the Donaldson conjecture on geodesics in the space of Kahler metrics to the Hermitian setting.
Cite
@article{arxiv.0906.3548,
title = {Complex Monge-Ampere equations on Hermitian manifolds},
author = {Bo Guan and Qun Li},
journal= {arXiv preprint arXiv:0906.3548},
year = {2009}
}