A general construction of conformally covariant tridifferential operators

Fuente: arXiv
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Autori principali: Case, Jeffrey S., Cieslak, Opal
Natura: Preprint
Pubblicazione: 2025
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author Case, Jeffrey S.
Cieslak, Opal
author_facet Case, Jeffrey S.
Cieslak, Opal
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_10402
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A general construction of conformally covariant tridifferential operators
Case, Jeffrey S.
Cieslak, Opal
Differential Geometry
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.
title A general construction of conformally covariant tridifferential operators
topic Differential Geometry
url https://arxiv.org/abs/2511.10402