@article{BSMF_1997__125_1_55_0, author = {Herzlich, Marc}, title = {Compactification conforme des vari\'et\'es asymptotiquement plates}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {55--92}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {125}, number = {1}, year = {1997}, doi = {10.24033/bsmf.2299}, mrnumber = {98d:53054}, zbl = {0938.53020}, language = {fr}, url = {http://archive.numdam.org/articles/10.24033/bsmf.2299/} }
TY - JOUR AU - Herzlich, Marc TI - Compactification conforme des variétés asymptotiquement plates JO - Bulletin de la Société Mathématique de France PY - 1997 SP - 55 EP - 92 VL - 125 IS - 1 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/bsmf.2299/ DO - 10.24033/bsmf.2299 LA - fr ID - BSMF_1997__125_1_55_0 ER -
%0 Journal Article %A Herzlich, Marc %T Compactification conforme des variétés asymptotiquement plates %J Bulletin de la Société Mathématique de France %D 1997 %P 55-92 %V 125 %N 1 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/bsmf.2299/ %R 10.24033/bsmf.2299 %G fr %F BSMF_1997__125_1_55_0
Herzlich, Marc. Compactification conforme des variétés asymptotiquement plates. Bulletin de la Société Mathématique de France, Tome 125 (1997) no. 1, pp. 55-92. doi : 10.24033/bsmf.2299. http://archive.numdam.org/articles/10.24033/bsmf.2299/
[1] Ricci curvature bounds and Einstein metrics on compact manifolds, J. Amer. Math. Soc., t. 2, 1989, p. 455-490. | MR | Zbl
. -[2] On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboidal initial data for Einstein's equations, Commun. Math. Phys., t. 149, 1992, p. 587-612. | Zbl
, and . -[3] On the boundary conditions for gravitational and gauge fields aat spatial infinity, Asymptotic behaviour of mass and spacetime geometry, F.J. Flaherty, ed., Proceedings, Corvallis, Oregon, 1983, Lect. Notes in Physics, t. 202, Springer, 1984, p. 95-109. | Zbl
. -[4] A unified treatment of null and spatial infinity in general relativity, J. Math. Phys., t. 19, 1978, p. 1542-1566. | MR
and . -[5] From i0 to the 3 + 1 description of infinity, J. Math. Phys., t. 25, 1984, p. 2682-2691. | MR | Zbl
and . -[6] On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth, Invent. Math., t. 97, 1989, p. 313-349. | MR | Zbl
, , and . -[7] The mass of an asymptotically flat manifold. - Commun. Pure Appl. Math., t. 39, 1986, p. 661-693. | MR | Zbl
. -[8] Partial differential equations. - American Mathematical Society, Providence, 1974.
, and . -[9] Einstein manifolds, Ergeb. Math. Grenzgeb., t. 10, Springer, Berlin, 1987. | MR | Zbl
. -[10] Les espaces à connexion conforme, Ann. Soc. Pol. Mat., t. 22, 1923, p. 171-221. | JFM
. -[11] Cauchy problems for the conformal vacuum field equations in General Relativity, Commun. Math. Phys., t. 91, 1983, p. 445-472. | MR | Zbl
. -[12] Einstein equations and conformal structure : existence of Anti-de Sitter-type spacetimes, J. Geom. Phys., t. 17, 1995, p. 125-184. | MR | Zbl
. -[13] Connexion canonique et structures de Weyl en géométrie conforme, Juin 1990, non publié.
. -[14] Riemannian manifolds of faster-than-quadratic curvature decay, Int. Math. Res. Notices, t. 9, 1994, p. 363-377. | MR | Zbl
, and . -[15] The large-scale structure of space-time. - Cambridge Univ. Press, Cambridge, 1973. | MR | Zbl
and . -[16] Convergence of riemannian manifolds; a status report, Preprint École Polytechnique (Palaiseau), n° 1096, 1995.
and . -[17] The Yamabe problem, Bull. Amer. Math. Soc., t. 117, 1987, p. 37-91. | MR | Zbl
and . -[18] Fredholm properties of a class of elliptic operators on non-compact manifolds, Duke Math. J., t. 48, 1983, p. 289-312. | MR | Zbl
. -[19] Elliptic differential operators on non-compact manifolds, Ann. Scuola. Norm. Sup. Pisa, t. 12, 1985, p. 409-447. | Numdam | MR | Zbl
and . -[20] Estimates in Lp and in Hölder classes and the Miranda-Agmon Maximum principle for solutions of elliptic boundary value problems in domains with singular points on the boundary (en russe), Math. Nachr., t. 81, 1978, p. 25-82; trad. anglaise Amer. Math. Soc. Transl., t. 123, 1984, p. 1-56. | Zbl
and . -[21] Conformal treatment of infinity, Relativity, groups and topology (C. de Witt and B. de Witt, eds.), École d'été de Physique Théorique, Les Houches 1963. - Gordon and Breach, 1963.
. -[22] Conformal deformation of a Riemannian manifold to constant scalar curvature, J. Diff. Geom, t. 20, 1984, p. 479-495. | MR | Zbl
. -[23] Zur Infinitesimalgeometrie : Einordnung der projektiven und den konform Auffassung, Göttinger Nachrichten, 1921, p. 99-112, repris dans Gesammelte Abhandlungen, vol. II, Chelsea, New York, 1967, p. 195-207. | JFM
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