A CLASS OF COMPACT POINCARÉ–EINSTEIN MANIFOLDS: PROPERTIES AND CONSTRUCTION
A CLASS OF COMPACT POINCARÉ–EINSTEIN MANIFOLDS: PROPERTIES AND CONSTRUCTION
We develop a geometric and explicit construction principle that generates classes of Poincaré–Einstein manifolds, and more generally almost Einstein manifolds. Almost Einstein manifolds satisfy a generalization of the Einstein condition; they are Einstein on an open dense subspace and, in general, have a conformal scale singularity set that is a …