@article{CM_1981__43_3_317_0, author = {Cantor, Murray and Brill, Dieter}, title = {The laplacian on asymptotically flat manifolds and the specification of scalar curvature}, journal = {Compositio Mathematica}, pages = {317--330}, publisher = {Sijthoff et Noordhoff International Publishers}, volume = {43}, number = {3}, year = {1981}, mrnumber = {632432}, zbl = {0471.53031}, language = {en}, url = {http://archive.numdam.org/item/CM_1981__43_3_317_0/} }
TY - JOUR AU - Cantor, Murray AU - Brill, Dieter TI - The laplacian on asymptotically flat manifolds and the specification of scalar curvature JO - Compositio Mathematica PY - 1981 SP - 317 EP - 330 VL - 43 IS - 3 PB - Sijthoff et Noordhoff International Publishers UR - http://archive.numdam.org/item/CM_1981__43_3_317_0/ LA - en ID - CM_1981__43_3_317_0 ER -
%0 Journal Article %A Cantor, Murray %A Brill, Dieter %T The laplacian on asymptotically flat manifolds and the specification of scalar curvature %J Compositio Mathematica %D 1981 %P 317-330 %V 43 %N 3 %I Sijthoff et Noordhoff International Publishers %U http://archive.numdam.org/item/CM_1981__43_3_317_0/ %G en %F CM_1981__43_3_317_0
Cantor, Murray; Brill, Dieter. The laplacian on asymptotically flat manifolds and the specification of scalar curvature. Compositio Mathematica, Tome 43 (1981) no. 3, pp. 317-330. http://archive.numdam.org/item/CM_1981__43_3_317_0/
[1] On the positive definite mass of the Bondi-Weber-Wheeler time-symmetric gravitational waves. Ann. Phys. 7, (1959) 466-483. | MR
:[2] Sobolev inequalities for Riemannian bundles, Proc. Symp. Pure Math., 27 (1975) 171-184. | MR | Zbl
:[3] Perfect fluid flows over Rn with asymptotic conditions, J. Func. Anal., 18, (1975) 73-84. | MR | Zbl
:[4] The existence of non-trivial asymptotically flat initial data for vacuum spacetimes, Commun. Math. Phys., 57 (1977) 83-96. | MR | Zbl
:[5] Some problems of global analysis on asymptotically simple manifolds, Comp. Math., 38, Fasc. 1 (1979) 3-35. | Numdam | MR | Zbl
:[6] A necessary and sufficient condition for York data to specify an asymptotically flat spacetime, J. Math. Phys., 20(8), 1741-1744. | MR | Zbl
:[7] Elliptic operators and the decomposition of tensor fields, (to appear in Bull. A.M.S.). | MR | Zbl
:[8] Evolution of time-symmetric gravitational waves: Initial data and apparent horizons, Phys. Rev. D, 16, #6 (1977) 1609-1614. | MR
:[9] Deformations of the Scalar curvature, Duke Math. J., 42 (1975) 519-547. | MR | Zbl
and :[10] The path-integration approach to quantum gravity, in General Relativity, a Centenary Survey (S. Hawking and W. Israel, eds.) (1979) Cambridge University Press.
:[11] Perturbation theory for linear operators, Springer-Verlag, 1966, New York. | MR | Zbl
:[12] Scalar curvature and conformal deformation of Riemannian structure, J. Diff. Geom., 10 (1975) 113-134. | MR | Zbl
and :[13] Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures, Ann. Math., 101, #2 (1975) 317-331. | MR | Zbl
and :[14] On Elliptic Operators on Rn, (to appear in Comm. P.D.E.). | Zbl
:[15] Geometrodynamics and the issue of the final state, in Relativity, Groups, and Topology, (1964) (ed. by DeWitt and DeWitt). Gordon and Breach, New York. | MR | Zbl
: