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math.DG2004★ 5 cited
Some lower estimates of ADM mass and Brown-York mass
Yuguang Shi, Luen-fai Tam
We give some lower estimates of the ADM mass of an asymptotically flat (AF) Riemannian manifold without assuming that the scalar curvature of the manifold is nonnegative. Some suff…
math.DG2003★ 29 cited
Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature
Yuguang Shi, Luen-fai Tam
In this paper, we study the boundary behaviors of compact manifolds with nonnegative scalar curvature and with nonempty boundary. Using a general version of Positive Mass Theorem o…