Complex Monge-Ampere equations on Hermitian manifolds
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🧮 math.DG
math.CV
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hermitiancomplexequationskahlermanifoldsmonge-ampereresultsapplication
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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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