The balanced metrics and cscK metrics on polyball bundles

DOI10.1007/s13324-023-00851-5zbMath1528.32007OpenAlexW4387777409MaRDI QIDQ6070329

Zhen-Han Tu, Zhiming Feng

Publication date: 20 November 2023

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-023-00851-5

zbMATH Keywords

balanced metricscscK metricspolyball bundles

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Cites Work

• Unnamed Item
• Unnamed Item
• Balanced metrics on the Fock-Bargmann-Hartogs domains
• On complete constant scalar curvature Kähler metrics with Poincaré-Mok-Yau asymptotic property
• Balanced metrics on Cartan and Cartan-Hartogs domains
• On canonical metrics on Cartan-Hartogs domains
• Balanced metrics and noncommutative Kähler geometry
• Regular quantizations of Kähler manifolds and constant scalar curvature metrics
• Balanced metrics on Hartogs domains
• Berezin quantization of homogeneous bounded domains
• Moment maps, scalar curvature and quantization of Kähler manifolds
• A closed formula for the asymptotic expansion of the Bergman kernel
• Balanced metric and Berezin quantization on the Siegel-Jacobi ball
• On homothetic balanced metrics
• Some remarks on the Kähler geometry of the Taub-NUT metrics
• The Kähler-Einstein metric for some Hartogs domains over symmetric domains
• Balanced metrics on \(\mathbb C^n\)
• On a set of polarized Kähler metrics on algebraic manifolds
• A direct approach to Bergman kernel asymptotics for positive line bundles
• Radial balanced metrics on the unit disk
• Scalar curvature and projective embeddings. I
• A Forelli-Rudin construction and asymptotics of weighted Bergman kernels
• Rawnsley's \(\varepsilon\)-function on some Hartogs type domains over bounded symmetric domains and its applications
• On the coefficients of the asymptotic expansion of the kernel of Berezin-Toeplitz quantization
• The balanced metrics and cscK metrics on certain holomorphic ball bundles
• The Simanca metric admits a regular quantization
• Finite TYCZ expansions and cscK metrics
• The regular quantizations of certain holomorphic bundles
• Complete cscK metrics on the local models of the conifold transition
• Balanced metrics on some Hartogs type domains over bounded symmetric domains
• On the first two coefficients of the Bergman function expansion for radial metrics
• Holomorphic Morse inequalities and Bergman kernels
• Hamiltonian 2-forms in Kähler geometry. I: General theory
• Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles
• Quantization of Kähler manifolds. I: Geometric interpretation of Berezin's quantization
• Balanced metrics and Berezin quantization on Hartogs triangles
• A momentum construction for circle-invariant Kähler metrics
• CANONICAL METRICS ON CARTAN–HARTOGS DOMAINS
• Berezin–Toeplitz quantization on Kähler manifolds
• QUANTIZATION
• COHERENT STATES AND KAHLER MANIFOLDS
• The asymptotics of a Laplace integral on a Kähler manifold
• The first two coefficients of the Bergman function expansions for Cartan–Hartogs domains
• Uniqueness of smooth radial balanced metrics on the disc
• Quantization of Kahler Manifolds. II
• Berezin Quantization and Reproducing Kernels on Complex Domains
• On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch
• BERGMAN AND BALANCED METRICS ON COMPLEX MANIFOLDS
• Generalized Bergman kernels on symplectic manifolds
• On the asymptotic expansion of Bergman kernel

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