64 citations · 90 across the 6 of their papers we have counts for
6 papers
Conformal hypersurface invariants and Bach-type Boundary Problems
Samuel Blitz, A. Rod Gover
Using variational considerations, we establish that there exists a new symmetric trace-free tensor conformal invariant of hypersurfaces embeddings in even dimensional conformal man…
Higher Willmore Energies from tractor coupled GJMS operators
Ben F. Allen, Rod Gover
We define and construct a conformally invariant energy for closed smoothly immersed submanifolds of even dimension, but of arbitrary codimension, in conformally flat Riemannian man…
Conformally Kähler structures
Maciej Dunajski, A. Rod Gover
We establish a one-to-one correspondence between Kähler metrics in a given conformal class and parallel sections of a certain vector bundle with conformally invariant connection, w…
The conformal Killing equation on forms -- prolongations and applications
A. Rod Gover, Josef Silhan
We construct a conformally invariant vector bundle connection such that its equation of parallel transport is a first order system that gives a prolongation of the conformal Killin…
The ambient obstruction tensor and the conformal deformation complex
A. Rod Gover, Lawrence J. Peterson
The (Fefferman-Graham) ambient obstruction tensor is a conformally invariant symmetric trace-free 2-tensor on even-dimensional Riemannian and pseudo-Riemannian manifolds. The confo…
Prolongations of Geometric Overdetermined Systems
Thomas Branson, Andreas Cap, Michael Eastwood +1
We show that a wide class of geometrically defined overdetermined semilinear partial differential equations may be explicitly prolonged to obtain closed systems. As a consequence,…