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math.DG2025
On minimizing surfaces of the CR invariant energy
Jih-Hsin Cheng, Hung-Lin Chiu, Paul Yang +1
We study a CR-invariant equation for vanishing surfaces in the 3-dimensional Heisenberg group. This is shown to be a hyperbolic equation. We prove the local uniqueness theore…
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 integ…
math.DG2023
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…