NDLI: Explicit Formulas for GJMS-Operators and Q-Curvatures

Content Provider	Springer Nature Link
Author	Juhl, Andreas
Copyright Year	2013
Abstract	We describe GJMS-operators as linear combinations of compositions of natural second-order differential operators. These are defined in terms of Poincaré–Einstein metrics and renormalized volume coefficients. As special cases, we derive explicit formulas for conformally covariant third and fourth powers of the Laplacian. Moreover, we prove related formulas for all Branson’s Q-curvatures. The results settle and refine conjectural statements in earlier works. The proofs rest on the theory of residue families introduced in Juhl (Progress in Mathematics, vol. 275. Birkhäuser Verlag, Basel, 2009).
Ending Page	1370
Page Count	93
Starting Page	1278
File Format	PDF
ISSN	1016443X
e-ISSN	14208970
Journal	Geometric and Functional Analysis
Issue Number	4
Volume Number	23
Language	English
Publisher	Springer Basel
Publisher Date	2013-06-09
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Einstein equations Combinatorial identities, bijective combinatorics Higher-order elliptic equations Local Riemannian geometry Analysis Conformal differential geometry Special Riemannian manifolds (Einstein, Sasakian, etc.) Spectral problems; spectral geometry; scattering theory Differential invariants (local theory), geometric objects
Content Type	Text
Resource Type	Article
Subject	Analysis Geometry and Topology

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Explicit Formulas for GJMS-Operators and Q-Curvatures