The laplacian on asymptotically flat manifolds and the specification of scalar curvature

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1. [1] D. Brill: On the positive definite mass of the Bondi-Weber-Wheeler time-symmetric gravitational waves. Ann. Phys.7, (1959) 466-483. MR108340
2. [2] M. Cantor: Sobolev inequalities for Riemannian bundles, Proc. Symp. Pure Math., 27 (1975) 171-184. Zbl0323.58008MR380873
3. [3] M. Cantor: Perfect fluid flows over Rn with asymptotic conditions, J. Func. Anal., 18, (1975) 73-84. Zbl0306.58007MR380872
4. [4] M. Cantor: The existence of non-trivial asymptotically flat initial data for vacuum spacetimes, Commun. Math. Phys., 57 (1977) 83-96. Zbl0404.53025MR462440
5. [5] M. Cantor: Some problems of global analysis on asymptotically simple manifolds, Comp. Math., 38, Fasc. 1 (1979) 3-35. Zbl0402.58004MR523260
6. [6] M. Cantor: A necessary and sufficient condition for York data to specify an asymptotically flat spacetime, J. Math. Phys., 20(8), 1741-1744. Zbl0427.35072MR543911
7. [7] M. Cantor: Elliptic operators and the decomposition of tensor fields, (to appear in Bull. A.M.S.). Zbl0481.58023MR628659
8. [8] K. Eppley: Evolution of time-symmetric gravitational waves: Initial data and apparent horizons, Phys. Rev.D, 16, #6 (1977) 1609-1614. MR489642
9. [9] A. Fischer and J. Marsden: Deformations of the Scalar curvature, Duke Math. J., 42 (1975) 519-547. Zbl0336.53032MR380907
10. [10] S. Hawking: The path-integration approach to quantum gravity, in General Relativity, a Centenary Survey (S. Hawking and W. Israel, eds.) (1979) Cambridge University Press. 
11. [11] I. Kato: Perturbation theory for linear operators, Springer-Verlag, 1966, New York. Zbl0148.12601MR203473
12. [12] J. Kazden and F. Warner: Scalar curvature and conformal deformation of Riemannian structure, J. Diff. Geom., 10 (1975) 113-134. Zbl0296.53037MR365409
13. [13] J. Kazden and F. Warner: Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures, Ann. Math., 101, #2 (1975) 317-331. Zbl0297.53020MR375153
14. [14] R. Mcowen: On Elliptic Operators on Rn, (to appear in Comm. P.D.E.). Zbl0448.35042
15. [15] J.A. Wheeler: Geometrodynamics and the issue of the final state, in Relativity, Groups, and Topology, (1964) (ed. by DeWitt and DeWitt). Gordon and Breach, New York. Zbl0148.46204MR168332