Large area-constrained Willmore surfaces in asymptotically Schwarzschild \(3\)-manifolds

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Foliations (differential geometric aspects) (53C12) Equations of motion in general relativity and gravitational theory (83C10)

Cites Work

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Local solutions to a free boundary problem for the Willmore functional
Localizing solutions of the Einstein constraint equations
Constant mean curvature surfaces in warped product manifolds
Large outlying stable constant mean curvature spheres in initial data sets
Foliations of asymptotically flat manifolds by surfaces of Willmore type
Optimal rigidity estimates for nearly umbilical surfaces
Role of surface integrals in the Hamiltonian formulation of general relativity
The inverse mean curvature flow and the Riemannian Penrose inequality
The Willmore flow with small initial energy.
Proof of the Riemannian Penrose inequality using the positive mass theorem.
Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
Willmore spheres in compact Riemannian manifolds
The conformal Willmore functional: a perturbative approach
Large isoperimetric surfaces in initial data sets
The area preserving Willmore flow and local maximizers of the Hawking mass in asymptotically Schwarzschild manifolds
Local foliation of manifolds by surfaces of Willmore-type
On the minimizers of curvature functionals in asymptotically flat manifolds
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
Concentration of small Willmore spheres in Riemannian 3-manifolds
Explicit Riemannian manifolds with unexpectedly behaving center of mass
Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions
Minimizers of the Willmore functional with a small area constraint
Effective versions of the positive mass theorem
Small Surfaces of Willmore Type in Riemannian Manifolds
On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
ENERGY EXTRACTION*
Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds
Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds I: minimization

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