40 citations · 56 across the 4 of their papers we have counts for
5 papers
Almost conformally Einstein manifolds and obstructions
A. R. Gover
A Riemannian or pseudo-Riemannian (or conformal) structure is conformally Einstein if and only if there is a suitably generic parallel section of a certain vector bundle -- the so-…
Obstructions to conformally Einstein metrics in dimensions
A. Rod Gover, Pawel Nurowski
We construct polynomial conformal invariants, the vanishing of which is necessary and sufficient for an -dimensional suitably generic (pseudo-)Riemannian manifold to be conforma…
Conformally invariant operators, differential forms, cohomology and a generalisation of Q-curvature
Thomas Branson, A. Rod Gover
On conformal manifolds of even dimension we construct a family of new conformally invariant differential complexes. Each bundle in each of these complexes appears either…
Conformally invariant powers of the Laplacian -- A complete non-existence theorem
A. Rod Gover, Kengo Hirachi
We show that on conformal manifolds of even dimension there is no conformally invariant natural differential operator between density bundles with leading part a power of…
Electromagnetism, metric deformations, ellipticity and gauge operators on conformal 4-manifolds
Thomas Branson, A. Rod Gover
On Riemannian signature conformal 4-manifolds we give a conformally invariant extension of the Maxwell operator on 1-forms. We show the extension is in an appropriate sense injecti…