A general construction of conformally covariant tridifferential operators (2511.10402v1)

Published 13 Nov 2025 in math.DG

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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