Foliations of asymptotically flat manifolds by stable constant mean curvature spheres

Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Cites Work

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Localizing solutions of the Einstein constraint equations
Constant mean curvature surfaces in warped product manifolds
On large volume preserving stable CMC surfaces in initial data sets
Large outlying stable constant mean curvature spheres in initial data sets
Foliations by stable spheres with constant mean curvature for isolated systems with general asymptotics
Foliations by stable spheres with constant mean curvature for isolated systems without asymptotic symmetry
On the radius pinching estimate and uniqueness of the CMC foliation in asymptotically flat 3-manifolds
Role of surface integrals in the Hamiltonian formulation of general relativity
On the proof of the positive mass conjecture in general relativity
The inverse mean curvature flow and the Riemannian Penrose inequality
Existence of surfaces minimizing the Willmore functional
Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
Large isoperimetric surfaces in initial data sets
Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian \(3\)-manifolds
On far-outlying constant mean curvature spheres in asymptotically flat Riemannian 3-manifolds
Explicit Riemannian manifolds with unexpectedly behaving center of mass
Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions
Foliations of asymptotically flat 3-manifolds by 2-surfaces of prescribed mean curvature
Effective versions of the positive mass theorem
Coordinate Invariance and Energy Expressions in General Relativity
On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
The mass of an asymptotically flat manifold
Foliation by Constant Mean Curvature Spheres on Asymptotically Flat Manifolds
Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds
On the center of mass of isolated systems
On the center of mass of isolated systems with general asymptotics

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