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We show that two smooth nearby Riemannian metrics can be glued interpolating their scalar curvature.
J. Corvino, Scalar curvature deformation and a gluing construction for the Einstein constraint equations , Commun. Math. Phys. 214
2000
Earlier work this paper cites.
P. T. Chruściel and E. Delay, Existence of non-trivial, vaccum, asymptotically simple space-times , Class. Quantum Grav. (2002), 71–79
2002
Earlier work this paper cites.
by same author, On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications , Mémoires de la S.M.F. (2003), 103p
2003
Earlier work this paper cites.
by same author, Manifold structures for the set of solutions of the general relativistic constraints equations , Journal of Geometry and Physics 51
2004
Earlier work this paper cites.
R. Beig, P. T. Chruściel, and R. Schoen, Kids are non-generic , Ann. Henri Poincaré (2005), no. 6, 155–194
2005
Cited alongside, same era.
J. Corvino and R. Schoen, On the asymptotics for the vacuum Einstein constraint equations , J. Differential Geom. 73
2006
Cited alongside, same era.
P. T. Chruściel and D. Pollack, Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends , Annales Henri Poincaré 9
2008
Cited alongside, same era.
A. Chruściel and E. Delay, Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature , Comm. Anal. Geom. 17
2009
Cited alongside, same era.
2009
Later among the works it cites.
P. T. Chruściel, F. Pacard, and D. Pollack, Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends II , Math. Res. Lett. 16
2009
Later among the works it cites.
by same author, Construction of the N-body initial data sets in general relativity , (2010), in preparation
2010
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2010
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