Remarks on Rawnsley's \(\varepsilon\)-function on the Fock-Bargmann-Hartogs domains

DOI10.1007/s00013-018-1260-3zbMath1423.32001OpenAlexW2898333291MaRDI QIDQ1737364

Huan Yang, Enchao Bi

Publication date: 27 March 2019

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-018-1260-3

zbMATH Keywords

quantizationKähler metricsFock-Bargmann-Hartogs domainsRawnsley's \(\varepsilon\)-function

Mathematics Subject Classification ID

Related Items (4)

Remarks on regular quantization and holomorphic isometric immersions on Hartogs triangles ⋮ Balanced metrics and Berezin quantization on Hartogs triangles ⋮ Geometric properties of the pentablock ⋮ Rigidity of proper holomorphic self-mappings of some unbounded weakly pseudoconvex Hartogs domain

Cites Work

• Unnamed Item
• Unnamed Item
• Balanced metrics on Cartan and Cartan-Hartogs domains
• Balanced metrics and noncommutative Kähler geometry
• Balanced metrics on Hartogs domains
• Berezin quantization of homogeneous bounded domains
• Moment maps, scalar curvature and quantization of Kähler manifolds
• Some remarks on the Kähler geometry of the Taub-NUT metrics
• Some remarks on homogeneous Kähler manifolds
• Berezin-Engliš' quantization of Cartan-Hartogs domains
• Radial balanced metrics on the unit disk
• An explicit computation of the Bergman kernel function
• Scalar curvature and projective embeddings. I
• A Forelli-Rudin construction and asymptotics of weighted Bergman kernels
• Rigidity of proper holomorphic mappings between certain unbounded non-hyperbolic domains
• Balanced metrics on some Hartogs type domains over bounded symmetric domains
• Holomorphic Morse inequalities and Bergman kernels
• Quantization of Kähler manifolds. I: Geometric interpretation of Berezin's quantization
• Isometric imbedding of complex manifolds
• CANONICAL METRICS ON CARTAN–HARTOGS DOMAINS
• Berezin–Toeplitz quantization on Kähler manifolds
• QUANTIZATION
• The asymptotics of a Laplace integral on a Kähler manifold
• THE TIAN–YAU–ZELDITCH ASYMPTOTIC EXPANSION FOR REAL ANALYTIC KÄHLER METRICS
• 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

This page was built for publication: Remarks on Rawnsley's \(\varepsilon\)-function on the Fock-Bargmann-Hartogs domains