The GJMS operators in geometry, analysis, and physics
Differential Geometry
2025-09-22 v1
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.
Cite
@article{arxiv.2509.16047,
title = {The GJMS operators in geometry, analysis, and physics},
author = {Jeffrey S. Case and A. Rod Gover},
journal= {arXiv preprint arXiv:2509.16047},
year = {2025}
}
Comments
This is the Author Accepted Manuscript of a commissioned survey for the Centenary Special Issue of the Journal of the London Mathematical Society. 20 pages