Conformally invariant powers of the Laplacian — A complete nonexistence theorem
type: Item
instance of: scholarly article
title: Conformally invariant powers of the Laplacian — A complete nonexistence theorem
zbMATH Open document ID: 1066.53037
DOI: 10.1090/S0894-0347-04-00450-3
author: Rod Gover
author: Kengo Hirachi
published in: Journal of the American Mathematical Society
publication date: 2004-03-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0304082
Mathematics Subject Classification ID: 53A30
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 2063484
zbMATH Keywords: conformally invariant operators
zbMATH Keywords: Laplacian
zbMATH Keywords: density bundle
MaRDI profile type: Publication
arXiv ID: math/0304082
cites work: Thomas's structure bundle for conformal, projective and related structures
cites work: Sharp Inequalities, the Functional Determinant, and the Complementary Series
cites work: Tractor bundles for irreducible parabolic geometries
cites work: Tractor calculi for parabolic geometries
cites work: Semiholonomic Verma modules
cites work: Q3738176
cites work: Q4002278
cites work: Q4953678
cites work: Invariant theory and calculus for conformal geometries
cites work: CR invariant powers of the sub-Laplacian
cites work: Conformally invariant powers of the Laplacian, \(Q\)-curvature, and tractor calculus
cites work: Conformally Invariant Powers of the Laplacian, II: Nonexistence
cites work: Conformally Invariant Powers of the Laplacian, I: Existence
cites work: Scattering matrix in conformal geometry
cites work: Wave and Dirac operators, and representations of the conformal group
cites work: Q3324593
cites work: Some new conformal covariants
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description: scientific article; zbMATH DE number 2063484