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arXiv · 2511.10402

A general construction of conformally covariant tridifferential operators

Jeffrey S. Case·Opal Cieslak
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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.

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Jeffrey S. Case, Opal Cieslak. 2025-11-13. A general construction of conformally covariant tridifferential operators. https://arxiv.org/abs/2511.10402

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