Poon's self-dual metrics and Kähler geometry
type: Item
instance of: scholarly article
title: Poon's self-dual metrics and Kähler geometry
zbMATH Open document ID: 0651.53047
author: Claude Lebrun
published in: Journal of Differential Geometry
publication date: 1988-01-01T00:00:00Z
review text: It is shown that the self-dual conformal metrics on connected sums of \({\mathbb{C}}P_ 2's\) recently produced by \textit{Y. S. Poon} [J. Differ. Geom. 24, 97-132 (1986; Zbl 0583.53054)] arise from zero scalar curvature Kähler metrics on blow-ups of \({\mathbb{C}}^ 2\) by adding a point at infinity and reversing the orientation.
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 4062104
zbMATH Keywords: positive scalar curvature
zbMATH Keywords: self-dual conformal metrics
zbMATH Keywords: Kähler metrics
zbMATH Keywords: blow-ups
zbMATH Keywords: point at infinity
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214442282
OpenAlex ID: W2094981285
Wikidata QID: Q115183530
DOI: 10.4310/JDG/1214442282
description: scientific article; zbMATH DE number 4062104