The Calabi–Yau equation on 4-manifolds over 2-tori

DOI10.1090/S0002-9947-2012-05692-3zbMath1269.53047arXiv1103.3995WikidataQ125947878 ScholiaQ125947878MaRDI QIDQ4913820

Luigi Vezzoni, S. M. Salamon, Yan-yan Li, Anna Fino

Publication date: 16 April 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.3995

zbMATH Keywords

symplectic manifolds4-manifoldsKähler manifoldsCalabi-Yau equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global theory of symplectic and contact manifolds (53D35)

Related Items (10)

A loop group method for affine harmonic maps into Lie groups ⋮ On the Calabi-Yau equation in the Kodaira-Thurston manifold ⋮ Solvability of a class of fully nonlinear elliptic equations on tori ⋮ A note on tame/compatible almost complex structures on four-dimensional Lie algebras ⋮ The Dirichlet problem for Monge-Ampère type equations on Hermitian manifolds ⋮ Second order estimates for complex Hessian equations with gradient terms on both sides ⋮ \(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry ⋮ The Monge-Ampère equation for non-integrable almost complex structures ⋮ Second order estimates for complex Hessian equations on Hermitian manifolds ⋮ Second order estimates for a class of complex Hessian equations on Hermitian manifolds

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