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arXiv · 0906.3548

Complex Monge-Ampere equations on Hermitian manifolds

Bo Guan·Qun Li
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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 $C^n$. As an application we generalize existing results on the Donaldson conjecture on geodesics in the space of Kahler metrics to the Hermitian setting.

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Bo Guan, Qun Li. 2009-06-18. Complex Monge-Ampere equations on Hermitian manifolds. https://arxiv.org/abs/0906.3548

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