A Survey on Balanced Metrics

DOI10.1007/978-4-431-56021-0_6zbMath1351.32027OpenAlexW2519212657MaRDI QIDQ2819645

Ji-Xiang Fu

Publication date: 29 September 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-56021-0_6

zbMATH Keywords

compact Hermitian manifoldsbalanced metrics

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Compact Kähler manifolds: generalizations, classification (32J27)

Related Items (1)

A flow of conformally balanced metrics with Kähler fixed points

Cites Work

• Balanced metrics on non-Kähler Calabi-Yau threefolds
• Form-type equations on Kähler manifolds of nonnegative orthogonal bisectional curvature
• Monge-Ampère equations in big cohomology classes
• A note on small deformations of balanced manifolds
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• Special Hermitian metrics and Lie groups
• Twistor geometry of Riemannian 4-manifolds by moving frames
• Compact p-Kähler manifolds
• On the existence of special metrics in complex geometry
• Limits of Calabi-Yau metrics when the Kähler class degenerates
• A note on the cone of mobile curves
• La 1-forme de torsion d'une variété hermitienne compacte
• Simultaneous resolution of threefold double points
• A local index theorem for non-Kähler manifolds
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Cycles for the dynamical study of foliated manifolds and complex manifolds
• A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry
• Numerical characterization of the Kähler cone of a compact Kähler manifold
• A class of balanced manifolds
• Semilinear equations, the \(\gamma_k\) function, and generalized Gauduchon metrics
• Vanishing theorems on \((\ell | k)\)-strong Kähler manifolds with torsion
• Form-type Calabi-Yau equations
• Relations between the Kähler cone and the balanced cone of a Kähler manifold
• Small Deformations of a Class of Compact Non-Kahler Manifolds
• Differentiability of volumes of divisors and a problem of Teissier
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
• A Parabolic Flow of Pluriclosed Metrics
• On generalized Gauduchon metrics
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