3 papers
math.DG2025
The Dirichlet-to-Neumann Map for Poincaré-Einstein Fillings
Samuel Blitz, A. Rod Gover, JarosÅaw KopiÅski +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…
math.DG2025
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…
math.DG2025
Boundary Curvature Scalars on Conformally Compact Manifolds
A. Rod Gover, JarosÅaw KopiÅski, 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…