On some Euclidean Einstein metrics
type: Item
instance of: scholarly article
title: On some Euclidean Einstein metrics
zbMATH Open document ID: 0615.53068
DOI: 10.1007/BF00402660
published in: Letters in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: The authors study the complex manifold associated with a nonlinear superposition of the Eguchi-Hanson and the pseudo-Fubini-Study metrics. The apparent singularities of the metric can be resolved only if the Eguchi-Hanson parameter satisfies a certain condition with \(n\geq 3\). The authors give a geometrical explanation of this fact. A generalization of the Gegenberg-Das metric is given to obtain a triaxial vacuum solution.
reviewed by: A. P. Stone
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 83C20
zbMATH DE Number: 3996594
zbMATH Keywords: Eguchi-Hanson metric
zbMATH Keywords: Einstein metric
zbMATH Keywords: pseudo-Fubini-Study metrics
zbMATH Keywords: Gegenberg-Das metric
zbMATH Keywords: vacuum solution
author: Henrik Pedersen
author: Birger Nielsen
MaRDI profile type: Publication
cites work: Q5676510
cites work: Stationary Riemannian space-times with self-dual curvature
cites work: Eguchi-Hanson metrics with cosmological constant
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description: scientific article; zbMATH DE number 3996594