326 citations · 2.6k across the 60 of their papers we have counts for
63 papers
The Dirichlet-to-Neumann Map for Poincaré-Einstein Fillings
Samuel Blitz, A. Rod Gover, Jarosław Kopiński +1
We study the non-linear Dirichlet-to-Neumann map for the Poincaré-Einstein filling problem. For even dimensional manifolds the range of this non-local map is described in terms of…
Generalized Willmore Energies, Q-Curvatures, Extrinsic Paneitz Operators, and Extrinsic Laplacian Powers
Samuel Blitz, A. Rod Gover, Andrew Waldron
Over forty years ago, Paneitz, and independently Fradkin and Tseytlin, discovered a fourth-order conformally-invariant differential operator, intrinsically defined on a conformal m…
Conformal Fundamental Forms and the Asymptotically Poincaré--Einstein Condition
Samuel Blitz, A. Rod Gover, Andrew Waldron
An important problem is to determine under which circumstances a metric on a conformally compact manifold is conformal to a Poincaré--Einstein metric. Such conformal rescalings are…
Dynamical Quantization of Contact Structures
Roger Casals, Gabriel Herczeg, Andrew Waldron
We construct a dynamical quantization for contact manifolds in terms of a flat connection acting on a Hilbert tractor bundle. We show that this contact quantization, which is indep…
The Quantum Darboux Theorem,
Olindo Corradini, Emanuele Latini, Andrew Waldron
The problem of computing quantum mechanical propagators can be recast as a computation of a Wilson line operator for parallel transport by a flat connection acting on a vector bund…
Singular Yamabe and Obata Problems
A. Rod Gover, Andrew Waldron
A conformal geometry determines a distinguished, potentially singular, variant of the usual Yamabe problem, where the conformal factor can change sign. When a smooth solution does…