Second-order derivative estimates for a class of Hessian equations on compact almost Hermitian manifolds

DOI10.1007/S40590-022-00412-ZzbMath1487.32150OpenAlexW4210700596MaRDI QIDQ2116807

Masaya Kawamura

Publication date: 18 March 2022

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-022-00412-z

zbMATH Keywords

almost Hermitian manifoldHessian equation

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60)

Cites Work

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• The continuity equation of almost Hermitian metrics
• Nonpositively curved almost Hermitian metrics on product of compact almost complex manifolds
• A second order estimate for complex Hess equations on a compact Kähler manifold
• The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
• Some existence results for fully nonlinear elliptic equations of monge-ampère type
• Global C²‐Estimates for Convex Solutions of Curvature Equations
• An interior estimate for convex solutions and a rigidity theorem

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