On a conjecture of Fefferman and Graham
type: Item
instance of: scholarly article
title: On a conjecture of Fefferman and Graham
zbMATH Open document ID: 1066.53083
DOI: 10.1016/S0001-8708(03)00145-2
author: Satyanad Kichenassamy
published in: Advances in Mathematics
publication date: 2004-08-06T00:00:00Z
review text: An embedding of codimension 2 of an arbitrary real-analytic manifold \(M\) of even dimension into a Ricci-flat regular tubular neighborhood \(N=U(M)\) is constructed. This result generalizes a theorem of Fefferman and Graham (1985) concerning odd dimensional manifolds \(M\). A family of formal solutions of the embedding problem involving logarithms and square-roots is obtained by means of PDEs with respect to coordinates of a regular neighborhood. The formal solution is convergent and contains \(n(n+1)\) arbitrary coefficients.
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 53A30
Mathematics Subject Classification ID: 35A20
zbMATH DE Number: 2081968
zbMATH Keywords: Ricci-flat manifold
Wikidata QID: Q122897721
MaRDI profile type: Publication
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full work available at URL: s0001-8708(03)00145-2
OpenAlex ID: W2034019681
description: scientific article; zbMATH DE number 2081968