Balanced metrics on the Fock-Bargmann-Hartogs domains

DOI10.1007/s10455-016-9495-3zbMath1355.32004arXiv1512.09201OpenAlexW2203759348MaRDI QIDQ300425

Enchao Bi, Zhiming Feng, Zhen-Han Tu

Publication date: 28 June 2016

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.09201

zbMATH Keywords

Bergman kernelsKähler metricsbalanced metricsFock-Bargmann-Hartogs domains

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

On the first two coefficients of the Bergman function expansion for radial metrics ⋮ Canonical metrics on generalized Hartogs triangles ⋮ The first two coefficients of the Bergman function expansions for Cartan–Hartogs domains ⋮ Balanced metrics and Berezin quantization on Hartogs triangles ⋮ Characterization of simply connected complex space forms in terms of Bergman functions ⋮ The balanced metrics and cscK metrics on polyball bundles ⋮ Rigidity of proper holomorphic self-mappings of some unbounded weakly pseudoconvex Hartogs domain ⋮ REGULARITY OF THE WEIGHTED BERGMAN PROJECTION ON THE FOCK–BARGMANN–HARTOGS DOMAIN ⋮ Unnamed Item ⋮ Strongly not relatives Kähler manifolds ⋮ The Simanca metric admits a regular quantization ⋮ The regular quantizations of certain holomorphic bundles ⋮ The Kobayashi pseudometric for the Fock-Bargmann-Hartogs domain and its application ⋮ The balanced metrics and cscK metrics on certain holomorphic ball bundles ⋮ Rigidity of the holomorphic automorphism of the generalized Fock-Bargmann-Hartogs domains

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