40 citations · 294 across the 64 of their papers we have counts for
70 papers
Boundary Curvature Scalars on Conformally Compact Manifolds
A. Rod Gover, Jarosław Kopiński, Andrew Waldron
We introduce a sequence of conformally invariant scalar curvature quantities, defined along the conformal infinity of a conformally compact (CC) manifold, that measure the failure…
CMC Foliations and their conformal aspects
A. Rod Gover, Valentina-Mira Wheeler
On a manifold we term a hypersurface foliation a slicing if it is the level set foliation of a slice function -- meaning some real valued function satisfying that is nowhe…
Conformally compact and higher conformal Yang-Mills equations
A. Rod Gover, Emanuele Latini, Andrew Waldron +1
On conformally compact manifolds we study Yang-Mills equations, their boundary conditions, formal asymptotics, and Dirichlet-to-Neumann maps. We find that smooth solutions with "ma…
Stress and Geometry for Isotropic Singularities
A. Rod Gover, Jarosław Kopiński, Andrew Waldron
We develop the mathematics needed to treat the interaction of geometry and stress at any isotropic spacetime singularity. This enables us to handle the Einstein equations at the in…
Conformal submanifolds, distinguished submanifolds, and integrability
Sean. N Curry, A. Rod Gover, Daniel Snell
For conformal geometries of Riemannian signature, we provide a comprehensive and explicit treatment of the core local theory for embedded submanifolds of arbitrary dimension. This…
The Anti-Self-Dual Deformation Complex and a conjecture of Singer
A. Rod Gover, Matthew J. Gursky
Let be a smooth, closed, oriented anti-self-dual (ASD) four-manifold. is said to be unobstructed if the cokernel of the linearization of the self-dual Weyl tens…