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The Positive Mass Theorem states that a complete asymptotically flat manifold of nonnegative scalar curvature has nonnegative mass.
Coordinate invariance and energy expressions in general relativity
R. Arnowitt, S. Deser, and C. W. Misner · 1961
Earlier work this paper cites.
On the first variation of a varifold
William K. Allard · 1972
Earlier work this paper cites.
On the proof of the positive mass conjecture in general relativity
Richard Schoen and Shing Tung Yau · 1979
Earlier work this paper cites.
A new proof of the positive energy theorem
Edward Witten · 1981
Earlier work this paper cites.
Optimal isoperimetric inequalities
F. Almgren · 1986
Cited alongside, same era.
The mass of an asymptotically flat manifold
Robert Bartnik · 1986
Cited alongside, same era.
Variational theory for the total scalar curvature functional for Riemannian metrics and related topics
Richard M. Schoen · 1989
Cited alongside, same era.
Geometric measure theory
Frank Morgan · 1995
Cited alongside, same era.
On the near-equality case of the Positive Mass Theorem
Dan A. Lee
Cited in the paper.
Proof of the Riemannian Penrose inequality using the positive mass theorem
Hubert L. Bray · 2001
Later among the works it cites.
The inverse mean curvature flow and the Riemannian Penrose inequality
Gerhard Huisken and Tom Ilmanen · 2001
Later among the works it cites.
Superharmonic functions in ℝ n \mathbb{R}^{n} and the Penrose inequality in general relativity
Hubert L. Bray and Kevin Iga · 2002
Later among the works it cites.
Positive mass theorem on manifolds admitting corners along a hypersurface
Pengzi Miao · 2002
Later among the works it cites.
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