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20052022
most citedNear-Constant Mean Curvature Solutions of the Einstein Constraint Equations with Non-Negative Yamabe Metrics

50 citations · 70 across the 8 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

math.DG2015★ 5 cited

The shear-free condition and constant-mean-curvature hyperboloidal initial data

Paul T. Allen, James Isenberg, John M. Lee +1

We consider the Einstein-Maxwell-fluid constraint equations, and make use of the conformal method to construct and parametrize constant-mean-curvature hyperboloidal initial data se…

math.DG2015★ 1 cited

Smoothly compactifiable shear-free hyperboloidal data is dense in the physical topology

Paul T. Allen, Iva Stavrov Allen

We show that any polyhomogeneous asymptotically hyperbolic constant-mean-curvature solution to the vacuum Einstein constraint equations can be approximated, arbitrarily closely in…

math.DG2015

Weakly asymptotically hyperbolic manifolds

Paul T. Allen, James Isenberg, John M. Lee +1

We introduce a class of "weakly asymptotically hyperbolic" geometries whose sectional curvatures tend to and are , but are not necessarily , conformally compact. We…