A general construction of conformally covariant tridifferential operators
Differential Geometry
2025-11-14 v1
Abstract
We construct a large family of conformally covariant tridifferential operators as tangential operators in the Fefferman--Graham ambient space. Our construction is analogous to the linear and bilinear constructions of Graham--Jenne--Mason--Sparling and Case--Lin--Yuan, respectively. We also show that the symmetrization of our ambient operators are formally self-adjoint when acting on densities of the correct weight.
Keywords
Cite
@article{arxiv.2511.10402,
title = {A general construction of conformally covariant tridifferential operators},
author = {Jeffrey S. Case and Opal Cieslak},
journal= {arXiv preprint arXiv:2511.10402},
year = {2025}
}
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20 pages, 0 figures