Origins, applications and generalisations of the \(Q\)-curvature

DOI10.1007/s10440-008-9236-0zbMath1145.53022OpenAlexW1987844089WikidataQ124850639 ScholiaQ124850639MaRDI QIDQ934850

A. Rod Gover

Publication date: 30 July 2008

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9236-0

zbMATH Keywords

spectral invariantsconformal differential geometryglobal geometric invariants

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (10)

Qualitative properties of solutions to mixed-diffusion bistable equations ⋮ Explicit formulas for GJMS-operators and \(Q\)-curvatures ⋮ Heat kernel expansions, ambient metrics and conformal invariants ⋮ Calculus and invariants on almost complex manifolds, including projective and conformal geometry ⋮ Scalar curvature and \(Q\)-curvature of random metrics ⋮ Non-stability of Paneitz-Branson type equations in arbitrary dimensions ⋮ Q-curvature prescription; forbidden functions and the GJMS null space ⋮ On a fourth order Lichnerowicz type equation involving the Paneitz-Branson operator ⋮ Renormalized volume ⋮ Boundary operators associated with the Paneitz operator

Cites Work

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• A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)
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• The conformal deformation detour complex for the obstruction tensor
• Conformally Invariant Operators, Differential Forms, Cohomology and a Generalisation of Q-Curvature
• Invariant theory and calculus for conformal geometries

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