The complex Monge-Ampère type equation on compact Hermitian manifolds and applications

DOI10.1016/j.aim.2015.09.009zbMath1337.53088arXiv1501.00891OpenAlexW2963237470WikidataQ125290375 ScholiaQ125290375MaRDI QIDQ890129

Ngoc Cuong Nguyen

Publication date: 9 November 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00891

zbMATH Keywords

Hermitian manifoldcomplex Monge-Ampère equation

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05) Currents (32U40)

Related Items (17)

Continuous solutions to Monge-Ampère equations on Hermitian manifolds for measures dominated by capacity ⋮ The Chern-Ricci flow ⋮ Hölder continuous solutions of the Monge-Ampère equation on compact Hermitian manifolds ⋮ Quasi-plurisubharmonic envelopes 3: solving Monge-Ampère equations on Hermitian manifolds ⋮ Leafwise flat forms on Inoue-Bombieri surfaces ⋮ Weak solutions of complex Hessian equations on compact Hermitian manifolds ⋮ Weak solutions of the Monge–Ampère equation on compact Hermitian manifolds ⋮ Some interior regularity estimates for solutions of complex Monge-Ampère equations on a ball ⋮ Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds ⋮ The Monge-Ampère equation for non-integrable almost complex structures ⋮ Regularizing properties of complex Monge-Ampère flows. II: Hermitian manifolds ⋮ Locally pluripolar sets are pluripolar ⋮ On Grauert-Riemenschneider type criteria ⋮ Weak solutions to Monge-Ampère type equations on compact Hermitian manifold with boundary ⋮ The Dirichlet problem for the Monge-Ampère equation on Hermitian manifolds with boundary ⋮ Families of singular Chern-Ricci flat metrics ⋮ Stability and Hölder regularity of solutions to complex Monge-Ampère equations on compact Hermitian manifolds

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