20 citations · 34 across the 6 of their papers we have counts for
7 papers
Geometric characterizations of asymptotically hyperbolic Riemannian 3-manifolds by the existence of a suitable CMC-foliation
Christopher Nerz
In 1996, Huisken-Yau proved that every three-dimensional Riemannian manifold can be uniquely foliated near infinity by stable closed surfaces of constant mean curvature (CMC) if it…
Existence and uniqueness of constant mean curvature foliations of general asymptotically hyperbolic 3-manifolds
Christopher Nerz
In 1996, Huisen-Yau proved that every three-dimensional, asymptotically Schwarzschilden manifold with positive mass is uniquely foliated by stable spheres of constant mean curvatur…
Foliations by spheres with constant expansion for isolated systems without asymptotic symmetry
Christopher Nerz
Motivated by the foliation by stable spheres with constant mean curvature constructed by Huisken-Yau, Metzger proved that every initial data set can be foliated by spheres with con…
Geometric characterizations of asymptotic flatness and linear momentum in general relativity
Christopher Nerz
In 1996, Huisken-Yau proved that every three-dimensional Riemannian manifold can be uniquely foliated near infinity by stable closed surfaces of constant mean curvature (CMC) if it…
Foliations by stable spheres with constant mean curvature for isolated systems without asymptotic symmetry
Christopher Nerz
In 1996, Huisken-Yau showed that every three-dimensional Riemannian manifold can be uniquely foliated near infinity by stable closed CMC-surfaces if it is asymptotically equal to t…
Explicit Riemannian manifolds with unexpectedly behaving center of mass
Carla Cederbaum, Christopher Nerz
The (relativistic) center of mass of an asymptotically flat Riemannian manifold is often defined by certain surface integral expressions evaluated along a foliation of the manifold…
Time evolution of ADM and CMC center of mass in general relativity
Christopher Nerz
It is shown by several authors going back to Huisken-Yau that asymptotically Schwarzschildean time-slices possess a unique foliation by stable constant mean curvature (CMC) spheres…