An a priori \(C^0\)-estimate for the Fu-Yau equation on compact almost astheno-Kähler manifolds

DOI10.1515/coma-2021-0138zbMath1496.32038OpenAlexW4288078392MaRDI QIDQ2162680

Masaya Kawamura

Publication date: 8 August 2022

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/coma-2021-0138

zbMATH Keywords

Chern connectionFu-Yau equationalmost astheno-Kähler manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60)

Cites Work

• On Hermitian curvature flow on almost complex manifolds
• An almost complex Chern-Ricci flow
• The Fu-Yau equation on compact astheno-Kähler manifolds
• The parabolic Monge-Ampère equation on compact almost Hermitian manifolds
• Nonpositively curved almost Hermitian metrics on product of compact almost complex manifolds
• The Fu-Yau equation in higher dimensions
• The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation

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