Total mean curvature, scalar curvature, and a variational analog of Brown-York mass

J. Nirenberg, The Weyl and Minkowski problems in differential geometry in the large

1953

Earlier work this paper cites.

A. V. Pogorelov, Some results on surface theory in the large

1964

Earlier work this paper cites.

R. Schoen, S.-T. Yau, On the structure of manifolds with positive scalar curvature

1979

Earlier work this paper cites.

D. Fischer-Colbrie, R. Schoen, The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature

1980

Earlier work this paper cites.

M. Gromov, H. B. Lawson, Jr., The classification of simply connected manifolds of positive scalar curvature

1980

Earlier work this paper cites.

W. Meeks, III, L. Simon, S.-T. Yau, Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature

1982

Earlier work this paper cites.

J. D. Brown, J. W. York, Jr., Quasilocal energy in general relativity

1992

Cited alongside, same era.

J. D. Brown, J. W. York, Jr., Quasilocal energy and conserved charges derived from the gravitational action

1993

Cited alongside, same era.

P. Miao, Positive mass theorem on manifolds admitting corners along a hypersurface

2002

Cited alongside, same era.

Y.-G. Shi, L.-F. Tam, Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature

2002

Cited alongside, same era.

P. Chruściel, M. Herzlich, The mass of asymptotically hyperbolic Riemannian manifolds

2003

Cited alongside, same era.

Y.-G. Shi, L.-F. Tam, Rigidity of compact manifolds and positivity of quasi-local mass

2007

M.-T. Wang, S.-T. Yau, A generalization of Liu-Yau’s quasi-local mass

2007

Later among the works it cites.

P. Miao, Y.-G. Shi, L.-F. Tam, On geometric problems related to Brown-York and Liu-Yau quasilocal mass

2010

Later among the works it cites.

M. Eichmair, P. Miao, X. Wang, Extension of a theorem of Shi and Tam

2012

Later among the works it cites.

J. L. Jauregui, Fill-ins of nonnegative scalar curvature, static metrics and quasi-local mass

2013

Later among the works it cites.

C. Mantoulidis, R. Schoen, On the Bartnik mass of apparent horizons

2015

Later among the works it cites.