BERGMAN AND BALANCED METRICS ON COMPLEX MANIFOLDS

DOI10.1142/S0219887805000685zbMath1083.53069MaRDI QIDQ5709199

Andrea Loi

Publication date: 29 November 2005

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

Calabi's diastasis functionBergman Einstein metricBochner's coordinates

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (9)

Balanced metrics on the Fock-Bargmann-Hartogs domains ⋮ Balanced metrics on \(\mathbb C^n\) ⋮ Balanced metrics and Berezin quantization on Hartogs triangles ⋮ Uniqueness of balanced metrics on holomorphic vector bundles ⋮ The balanced metrics and cscK metrics on polyball bundles ⋮ Remarks on Rawnsley's \(\varepsilon\)-function on the Fock-Bargmann-Hartogs domains ⋮ The balanced metrics and cscK metrics on certain holomorphic ball bundles ⋮ Radial balanced metrics on the unit disk ⋮ Balanced metrics on some Hartogs type domains over bounded symmetric domains

Cites Work

• Moment maps, scalar curvature and quantization of Kähler manifolds
• On a set of polarized Kähler metrics on algebraic manifolds
• Quantization of bounded domains
• Kähler-Einstein metrics with positive scalar curvature
• On strictly pseudoconvex domains with Kähler-Einstein Bergman metrics
• Quantization of Kähler manifolds and the asymptotic expansion of Tian-Yau-Zelditch
• Bott-Chern forms and geometric stability
• The K-energy on hypersurfaces and stability
• Isometric imbedding of complex manifolds
• COHERENT STATES AND KAHLER MANIFOLDS
• Curvature in Hermitian metric

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