A gradient estimate for the Monge-Ampère equation on compact almost Hermitian manifolds

DOI10.1215/00192082-9591203zbMath1495.32068OpenAlexW4205270003MaRDI QIDQ2073251

Masaya Kawamura

Publication date: 1 February 2022

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/illinois-journal-of-mathematics/volume-65/issue-4/A-gradient-estimate-for-the-MongeAmp%c3%a8re-equation-on-compact-almost/10.1215/00192082-9591203.full

zbMATH Keywords

Monge-Ampère equationgradient estimatesalmost Hermitian geometry

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

• Unnamed Item
• On Hermitian curvature flow on almost complex manifolds
• A gradient estimate in the Calabi-Yau theorem
• An almost complex Chern-Ricci flow
• The Monge-Ampère equation for non-integrable almost complex structures
• The Dirichlet problem on almost Hermitian manifolds
• The continuity equation of almost Hermitian metrics
• Nonpositively curved almost Hermitian metrics on product of compact almost complex manifolds
• Complex Monge Ampere Equations

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