The GJMS operators in geometry, analysis, and physics

2025/09/19 by Jeffrey S. Case, Case, Jeffrey S., A. Rod Gover +1
Mathematics · #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2509.16047

openalex publication_date 2025/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The GJMS operators, introduced by Graham, Jenne, Mason, and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis, and physics. We describe the GJMS operators and their construction, and briefly survey their importance and impact.

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Related

• Juhl's Formulae for GJMS Operators and Q-Curvatures
• A construction of critical GJMS operators using Wodzicki's residue
• On conformally covariant powers of the Laplacian
• Masse des opérateurs GJMS
• Boundary operators associated to the sixth-order GJMS operator