On the Fefferman class of metrics associated with a three-dimensional CR space
type: Item
instance of: scholarly article
title: On the Fefferman class of metrics associated with a three-dimensional CR space
zbMATH Open document ID: 0641.53071
DOI: 10.1007/BF00397833
author: Jerzy Lewandowski
published in: Letters in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: We derive the explicit forms of Fefferman's metric for a Cauchy-Riemann space admitting a solution of the tangential Cauchy-Riemann equation and of the corresponding Weyl tensor. We show that its Petrov type is 0 in the case of the hyperquadric or N in all other cases, and that the Fefferman class of metrics does not contain any nonflat solution of Einstein's vacuum equations with cosmological constant.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83C20
zbMATH DE Number: 4044688
zbMATH Keywords: Fefferman's metric
zbMATH Keywords: Cauchy-Riemann space
zbMATH Keywords: Weyl tensor
zbMATH Keywords: Petrov type
zbMATH Keywords: Einstein's vacuum equations
Wikidata QID: Q58879934
MaRDI profile type: Publication
cites work: Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
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cites work: Non-realizable CR structures
cites work: On the Robinson theorem and shearfree geodesic null congruences
full work available at URL: https://doi.org/10.1007/bf00397833
OpenAlex ID: W1975702912
description: scientific article; zbMATH DE number 4044688