3 papers
math.DG2026
Einstein and Yang-Mills implies conformal Yang-Mills
Samuel Blitz, A. Rod Gover, JarosÅaw KopiÅski +1
There exist conformally invariant, higher-derivative, variational analogs of the Yang-Mills condition for connections on vector bundles over a conformal manifold of even dimension…
math.DG2024
Renormalized Yang-Mills Energy on Poincaré-Einstein Manifolds
A. R. Gover, E. Latini, A. Waldron +1
We prove that the renormalized Yang-Mills energy on six dimensional Poincaré-Einstein spaces can be expressed as the bulk integral of a local, pointwise conformally invariant inte…
gr-qc2024
Stress and Geometry for Isotropic Singularities
A. Rod Gover, JarosÅaw KopiÅski, 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…