Canonical metrics on Cartan-Hartogs domains
type: Item
instance of: scholarly article
zbMATH Open document ID: 1260.53126
DOI: 10.1142/S0219887812500119
author: Michela Zedda
published in: International Journal of Geometric Methods in Modern Physics
publication date: 2012-06-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/1104.5686
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 32T15
Mathematics Subject Classification ID: 32Q15
zbMATH DE Number: 6048359
zbMATH Keywords: Kähler metrics
zbMATH Keywords: extremal metrics
zbMATH Keywords: Engliš expansion
zbMATH Keywords: Cartan-Hartogs domain
MaRDI profile type: Publication
arXiv ID: 1104.5686
cites work: Quantization of Kähler manifolds and the asymptotic expansion of Tian-Yau-Zelditch
cites work: Stability of vector bundles and extremal metrics
cites work: On the existence of nontrivial extremal metrics on complete noncompact surfaces
cites work: Uniqueness of extremal Kähler metrics
cites work: Constant scalar curvature metrics on toric surfaces
cites work: A Forelli-Rudin construction and asymptotics of weighted Bergman kernels
cites work: TYZ expansion for the Kepler manifold
cites work: Regular quantizations of Kähler manifolds and constant scalar curvature metrics
cites work: ENGLIŠ EXPANSION FOR HARTOGS DOMAINS
cites work: COHERENT STATES AND KAHLER MANIFOLDS
cites work: Extremal metrics and K-stability
cites work: Q5285024
cites work: The Einstein-Kähler metric with explicit formulas on some non-homogeneous domains
title: Canonical metrics on Cartan-Hartogs domains
review text: The author addresses two problems concerning a family of domains \(M_{\Omega}(\mu)\subset\mathbb C^n\), called Cartan-Hartogs domains, endowed with a natural Kähler metric \(g(\mu)\). The first issue is to determine when the metric \(g(\mu)\) is extremal (in the sense of Calabi), while the second issue deals with the investigation of when the coefficient \(a_2\) of the Engliš expansion of the Rawnsley \(\epsilon\)-function associated to the metric is constant.
reviewed by: Martin Chuaqui
description: scientific article; zbMATH DE number 6048359