The positive mass theorem with arbitrary ends

Global Riemannian geometry, including pinching (53C20) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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On large volume preserving stable CMC surfaces in initial data sets
Metric inequalities with scalar curvature
A local regularity theorem for mean curvature flow
Conformally flat manifolds, Kleinian groups and scalar curvature
On the structure of manifolds with positive scalar curvature
The classification of simply connected manifolds of positive scalar curvature
Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
Proof of the positive mass theorem. II
Remarks on curvature estimates for minimal hypersurfaces
On the proof of the positive mass conjecture in general relativity
Scalar curvature and hammocks
Regularity theory for mean curvature flow
A new proof of the positive energy theorem.
Geometry of three manifolds and existence of black hole due to boundary effect
The energy and the linear momentum of space-times in general relativity
On the 2-systole of stretched enough positive scalar curvature metrics on \(\mathbb{S}^2\times\mathbb{S}^2\)
Einstein manifolds
On the first variation of a varifold
Rigidity of stable minimal hypersurfaces in asymptotically flat spaces
The spacetime positive mass theorem in dimensions less than eight
Sets of Finite Perimeter and Geometric Variational Problems
Riemannian Geometry
The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
Boundaries of Caccioppoli sets with Hölder-continuois normal vector.
Some regularity theorems in riemannian geometry
Regularity of stable minimal hypersurfaces
Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
Width estimate and doubly warped product
Geometric Relativity
Four Lectures on Scalar Curvature
Rigidity results for complete manifolds with nonnegative scalar curvature
Generalized soap bubbles and the topology of manifolds with positive scalar curvature
Positive scalar curvature and minimal hypersurface singularities