Scalar curvature rigidity of geodesic balls in S^n

D. Ebin, The manifold of Riemannian metrics,

1968

Earlier work this paper cites.

A.E. Fischer and J.E. Marsden, Deformations of the scalar curvature,

1975

Earlier work this paper cites.

R. Schoen and S.T. Yau, On the proof of the positive mass conjecture in general relativity,

1979

Earlier work this paper cites.

E. Witten, A new proof of the positive energy theorem,

1981

Earlier work this paper cites.

R. Bartnik, The mass of an asymptotically flat manifold,

1986

Earlier work this paper cites.

M. Min-Oo, Scalar curvature rigidity of certain symmetric spaces,

1998

Cited alongside, same era.

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

2002

Cited alongside, same era.

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

2002

Cited alongside, same era.

X. Dai, X. Wang, and G. Wei, On the stability of Riemannian manifolds with parallel spinors,

2005

Cited alongside, same era.

F. Hang and X. Wang, Rigidity and non-rigidity results on the sphere,

2006

Cited alongside, same era.

H. Bray, S. Brendle, M. Eichmair, and A. Neves, Area-minimizing projective planes in three-manifolds,

Cited in the paper.

S. Brendle, F.C. Marques, and A. Neves, Deformations of the hemisphere that increase scalar curvature,

Original

Cited in the paper.

L. Huang and D. Wu, Rigidity theorems on hemispheres in non-positive space forms,

Original

Cited in the paper.

S. Brendle, Convergence of the Yamabe flow in dimension 6 6 and higher,

2007

Later among the works it cites.

X. Dai, X. Wang, and G. Wei, On the variational stability of Kähler-Einstein metrics,

2007

Later among the works it cites.

A. Besse, Einstein manifolds,

2008

Later among the works it cites.

M. Eichmair, The size of isoperimetric surfaces in 3 3 -manifolds and a rigidity result for the upper hemisphere,

2009

Later among the works it cites.

F. Hang and X. Wang, Rigidity theorems for compact manifolds with boundary and positive Ricci curvature,

2009

Later among the works it cites.