On a generalized Calabi-Yau equation

DOI10.5802/aif.2566zbMath1228.53090arXiv0911.0784OpenAlexW2963571410MaRDI QIDQ609655

Peng Zhu, Hong-Yu Wang

Publication date: 1 December 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0784

zbMATH Keywords

symplectic formalmost complex structureHermitian metricNijenhuis tensorCalabi-Yau equationpseudo-holomorphic function

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Partial differential equations on manifolds; differential operators (58J99)

Related Items (5)

Local Riemann-Roch theorem for almost Hermitian manifolds ⋮ On tamed almost complex four-manifolds ⋮ A new equation on the Calabi-Yau metrics in low dimensions ⋮ Harmonic two-forms on manifolds with non-negative isotropic curvature ⋮ The Monge-Ampère equation for non-integrable almost complex structures

Cites Work

• Pseudo holomorphic curves in symplectic manifolds
• On the almost complex analogue of the Calabi-Yau equation
• The Calabi-Yau equation on almost-Kähler four-manifolds
• Taming symplectic forms and the Calabi-Yau equation
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Corrigenda to: Introduction to Symplectic Topology
• On the Volume Elements on a Manifold
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