Quantization of Kähler manifolds. III
type: Item
instance of: scholarly article
title: Quantization of Kähler manifolds. III
zbMATH Open document ID: 0826.53052
DOI: 10.1007/BF00751065
author: Simone Gutt
author: Michel Cahen
author: J. Rawnsley
published in: Letters in Mathematical Physics
publication date: 1994-05-16T00:00:00Z
review text: In two previous papers [J. Geom. Phys. 7, No. 1, 45-62 (1990; Zbl 0719.53044) and Trans. Am. Math. Soc. 337, No. 1, 73-98 (1993; Zbl 0788.53062)] the authors have examined various geometrical methods for the quantization of compact Kähler manifolds. In the paper under review they make the first steps in extending these results to noncompact Kähler manifolds. As an example, the case of an open disk in \(\mathbb{C}\) with Poincaré metric is described in detail.
reviewed by: Mircea Puta
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 53D50
zbMATH DE Number: 554096
zbMATH Keywords: Berezin quantization
zbMATH Keywords: Kähler manifolds
zbMATH Keywords: open disk
zbMATH Keywords: Poincaré metric
MaRDI profile type: Publication
cites work: Deformation theory and quantization. I: Deformations of symplectic structures
cites work: General concept of quantization
cites work: Lorentz manifolds modelled on a Lorentz symmetric space
cites work: Quantization of Kahler Manifolds. II
cites work: Q4747269
cites work: *-products on \(D^ 1(C)\), \(S^ 2\) and related spectral analysis
description: scientific article; zbMATH DE number 554096