Semilinear equations, the \(\gamma_k\) function, and generalized Gauduchon metrics

DOI10.4171/JEMS/370zbMath1267.32021arXiv1010.2013OpenAlexW2963450251WikidataQ125572142 ScholiaQ125572142MaRDI QIDQ1940825

Damin Wu, Zhizhang Wang, Ji-Xiang Fu

Publication date: 7 March 2013

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2013

zbMATH Keywords

semilinear equationconformal class\(k\)-Kähler manifoldgeneralized Gauduchon metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau theory (complex-analytic aspects) (32Q25) (3)-folds (14J30)

Related Items (27)

On a \(k\)-th Gauduchon almost Hermitian manifold ⋮ On the \(k\)-th almost Gauduchon condition on almost Hermitian manifolds ⋮ On Strominger Kähler-like manifolds with degenerate torsion ⋮ Chern-Ricci curvatures, holomorphic sectional curvature and Hermitian metrics ⋮ Locally conformal Hermitian metrics on complex non-Kähler manifolds ⋮ A construction of non-Kähler Calabi-Yau manifolds and new solutions to the Strominger system ⋮ On generalized Gauduchon nilmanifolds ⋮ Singular Gauduchon metrics ⋮ Pluriclosed star split Hermitian metrics ⋮ Plurisigned hermitian metrics ⋮ On cohomological and formal properties of strong Kähler with torsion and astheno-Kähler metrics ⋮ Strominger connection and pluriclosed metrics ⋮ Compatibility between non-Kähler structures on complex (nil)manifolds ⋮ On metric and cohomological properties of Oeljeklaus-Toma manifolds ⋮ Complex geometry and Hermitian metrics on the product of two Sasakian manifolds ⋮ Unnamed Item ⋮ Ricci curvatures on Hermitian manifolds ⋮ The Fu-Yau equation on compact astheno-Kähler manifolds ⋮ On Bismut flat manifolds ⋮ The anomaly flow on nilmanifolds ⋮ On non-Kähler compact complex manifolds with balanced and astheno-Kähler metrics ⋮ A family of complex nilmanifolds with in finitely many real homotopy types ⋮ Statistical mirror symmetry ⋮ Some recent progress in non-Kähler geometry ⋮ A Survey on Balanced Metrics ⋮ A flow of conformally balanced metrics with Kähler fixed points ⋮ Scalar curvatures in almost Hermitian geometry and some applications

Cites Work

• Balanced metrics on non-Kähler Calabi-Yau threefolds
• Geometric model for complex non-Kähler manifolds with \(\operatorname{SU}(3)\) structure
• La 1-forme de torsion d'une variété hermitienne compacte
• A local index theorem for non-Kähler manifolds
• Form-type Calabi-Yau equations
• The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
• Construction and Properties of Some 6-Dimensional Almost Complex Manifolds
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