On tamed almost complex four-manifolds
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Publication:6039130
DOI10.1007/s42543-021-00045-7zbMath1519.53069arXiv1712.02948OpenAlexW4210623632MaRDI QIDQ6039130
Peng Zhu, Qiang Tan, Hong-Yu Wang, Jiuru Zhou
Publication date: 3 May 2023
Published in: Peking Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.02948
Global theory of symplectic and contact manifolds (53D35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)
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- Smooth approximation of plurisubharmonic functions on almost complex manifolds
- Geometric plurisubharmonicity and convexity: an introduction
- Stability under deformations of Hermite-Einstein almost Kähler metrics
- On cohomology of almost complex 4-manifolds
- Submanifolds and special structures on the octonians
- On a generalized Calabi-Yau equation
- Tamed to compatible: symplectic forms via moduli space integration
- Potential theory on almost complex manifolds
- Sur le prolongement des courants positifs fermés
- The analytic embedding of abstract real-analytic manifolds
- An intrinsic characterization of Kähler manifolds
- \(J\)-pluripolar subsets and currents on almost complex manifolds
- Strictly nearly Kähler 6-manifolds are not compatible with symplectic forms
- On the geometry of almost complex 6-manifolds
- Pluri-polarity in almost complex structures
- Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds
- Calibrated geometries
- Pseudo holomorphic curves in symplectic manifolds
- Properties of compact complex manifolds carrying closed positive currents
- Cycles for the dynamical study of foliated manifolds and complex manifolds
- The partial Legendre transformation for plurisubharmonic functions
- Courants kählériens et surfaces compactes. (Kähler currents and compact surfaces)
- On compact Kähler surfaces
- Holomorphic curves in symplectic geometry
- Symplectic submanifolds and almost-complex geometry
- Almost complex structures which are compatible with Kähler or symplectic structures
- A note on the deformations of almost complex structures on closed four-manifolds
- Schwarz-type lemmas for solutions of \(\bar\partial \)-inequalities and complete hyperbolicity of almost complex manifolds.
- Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
- Complex manifolds and deformation of complex structures. Transl. from the Japanese by Kazuo Akao
- The Seiberg-Witten and Gromov invariants
- Stability under deformations of extremal almost-Kähler metrics in dimension 4
- The Calabi-Yau equation on almost-Kähler four-manifolds
- From Taubes currents to almost Kähler forms
- The singular set of 1-1 integral currents
- Poincaré-Lelong formula, \(J\)-analytic subsets and Lelong numbers of currents on almost complex manifolds
- A closed symplectic four-manifold has almost Kähler metrics of negative scalar curvature
- \(J\)-holomorphic submanifolds are pluripolar
- Plurisubharmonic exhaustion functions and almost complex Stein structures
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Harmonic integrals on strongly pseudo-convex manifolds. II
- The currents defined by analytic varieties
- Plurisubharmonic functions and positive currents of type (1,1) on an almost complex manifold
- Some integration problems in almost-complex and complex manifolds
- Characteristic classes of Hermitian manifolds
- EXTREMAL ALMOST-KÄHLER METRICS
- An introduction to potential theory in calibrated geometry
- Symplectic Forms and Cohomology Decomposition of almost Complex Four-Manifolds
- Almost Kähler Forms on Rational 4-Manifolds
- Taming symplectic forms and the Calabi-Yau equation
- Two Dimensional Area Minimizing Integral Currents are Classical Minimal Surfaces
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- ON THE J-ANTI-INVARIANT COHOMOLOGY OF ALMOST COMPLEX 4-MANIFOLDS
- On $\bm{J}$-anti-invariant cohomology of compact almost complex four-manifolds and applications
- REGULARIZED MAXIMUM OF STRICTLY PLURISUBHARMONIC FUNCTIONS ON AN ALMOST COMPLEX MANIFOLD
- The Identity of Weak and Strong Extensions of Differential Operators
- Extension of holomorphic functions