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We will discuss existence of center of mass on asymptotically Schwarzschild manifold defined by Huisken-Yau and Corvino-Schoen.
Ni, W.-M., On the elliptic equation Δ u + K ( x ) u ( n + 2 ) / ( n − 2 ) = 0 \Delta u+K(x)u^{(n+2)/(n-2)}=0 , its generalizations, and applications in geometry
1982
Earlier work this paper cites.
Gilbarg, D.; Trudinger, N. S., Elliptic partial differential equations of second order
1983
Earlier work this paper cites.
Huisken, G.; Yau, S.-T., Definitions of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
1996
Earlier work this paper cites.
Ye, R., Foliation by constant mean curvature spheres on asymptotically flat manifolds
1996
Cited alongside, same era.
Corvino, J., Scalar curvature deformation and a gluing construction for the einstein constraint equations
2000
Cited alongside, same era.
Corvino, J.; Schoen, R. M., On the asymptotics for the vacuum Einstein constraint equations
2006
Cited alongside, same era.
Cederbaum C.; Nerz, C., Explicit riemannian manifolds with unexpectedly behaving center of mass
Cited in the paper.
Huang, L.-H., Solutions of special asymptotics to the Einstein constraint equations
Cited in the paper.
Huang, L.-H., Private communication
Cited in the paper.
Wang, M.-T., Private communication
Cited in the paper.
Corvino, J.; Wu, H., On the center of mass of isolated systems
2008
Later among the works it cites.
Huang, L.-H., On the center of mass of isolated systems with general asymptotics
2009
Later among the works it cites.
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