Gradient estimates for Monge-Ampère type equations on compact almost Hermitian manifolds with boundary

DOI10.1515/ANLY-2021-0047zbMath1487.32151OpenAlexW3216987347MaRDI QIDQ2120935

Masaya Kawamura

Publication date: 1 April 2022

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2021-0047

zbMATH Keywords

a priori estimateChern connectionalmost Hermitian metricMonge-Ampère-type equation

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

• A Monge-Ampère type fully nonlinear equation on Hermitian manifolds
• \(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry
• On Hermitian curvature flow on almost complex manifolds
• A gradient estimate in the Calabi-Yau theorem
• An almost complex Chern-Ricci flow
• Fully non-linear elliptic equations on compact Hermitian manifolds
• The parabolic Monge-Ampère equation on compact almost Hermitian manifolds
• The Monge-Ampère equation for non-integrable almost complex structures
• The Dirichlet problem on almost Hermitian manifolds
• The continuity equation of almost Hermitian metrics
• Estimates for a function on almost Hermitian manifolds
• Estimates for the Hessian equation on compact almost Hermitian manifolds
• Nonpositively curved almost Hermitian metrics on product of compact almost complex manifolds
• The Dirichlet problem for a complex Monge-Ampère type equation on Hermitian manifolds

This page was built for publication: Gradient estimates for Monge-Ampère type equations on compact almost Hermitian manifolds with boundary