Admissible $Q-$curvatures under isometries for the conformal GJMS operators

TL;DR

This paper establishes conditions under which a function invariant under isometries can be realized as the Q-curvature of a conformal metric, utilizing conformal GJMS operators.

Contribution

It provides new sufficient conditions linking isometry-invariant functions to Q-curvature via conformal GJMS operators.

Findings

Identifies conditions for functions to be Q-curvature under isometries

Uses conformal GJMS operators to characterize Q-curvature

Bridges symmetry invariance and curvature realization

Abstract

We give sufficient conditions on a function invariant under the action of an isometry group to be Branson's Q-curvature of a metric in a given conformal class, using the conformal GJMS operators.