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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…
math.DG2012
Poincare-Einstein Holography for Forms via Conformal Geometry in the Bulk
A. Rod Gover, Emanuele Latini, Andrew Waldron
We study higher form Proca equations on Einstein manifolds with boundary data along conformal infinity. We solve these Laplace-type boundary problems formally, and to all orders, b…