3 papers
math.DG2026
Yamabe problems for formally self-adjoint, conformally covariant, polydifferential operators
Jeffrey S. Case
Formally self-adjoint, conformally covariant, polydifferential operators provide a general framework for studying variational problems, such as prescribing the scalar, -, or $σ_…
math.DG2025
A general construction of conformally covariant tridifferential operators
Jeffrey S. Case, Opal Cieslak
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…
math.DG2024
Formal self-adjointness of a family of conformally invariant bidifferential operators
Jeffrey S. Case, Zetian Yan
We prove that the curved Ovsienko--Redou operators and a related family of differential operators are formally self-adjoint. This verifies two conjectures of Case, Lin, and Yuan.