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15 papers · 1 filter
Conformal operators on weighted forms; their decomposition and null space on Einstein manifolds
A. Rod Gover, Josef Silhan
There is a class of Laplacian like conformally invariant differential operators on differential forms which may be considered the generalisation to differential forms of…
Q curvature prescription; forbidden functions and the GJMS null space
A. Rod Gover
On an even conformal manifold , such that the critical GJMS operator has non-trivial kernel, we identify and discuss the role of a finite dimensional vector space of…
A class of compact Poincare-Einstein manifolds: properties and construction
A. Rod Gover, Felipe Leitner
We develop a geometric and explicit construction principle that generates classes of Poincare-Einstein manifolds, and more generally almost Einstein manifolds. Almost Einstein mani…
Almost Einstein and Poincare-Einstein manifolds in Riemannian signature
A. Rod Gover
An almost Einstein manifold satisfies equations which are a slight weakening of the Einstein equations; Einstein metrics, Poincare-Einstein metrics, and compactifications of certai…
Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds
A. Rod Gover
A conformal description of Poincare-Einstein manifolds is developed: these structures are seen to be a special case of a natural weakening of the Einstein condition termed an almos…
Conformal operators on forms and detour complexes on Einstein manifolds
A. Rod Gover, Josef Silhan
For even dimensional conformal manifolds several new conformally invariant objects were found recently: invariant differential complexes related to, but distinct from, the de Rham…