Asymptotically symmetric Einstein metrics;Métriques d'einstein asymptotiquement symétriques

Asterisque

Volumn 265, Issue , 2000, Pages 1-109

  Biquard, Olivier ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748026833     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article

References (43)

1. α-compactness for manifolds with Ricci curvature and injectivity radius bounded below», J. Differential Geom. 35 (1992), p. 265-281.
2. M. T. ANDERSON - «Convergence and rigidity of manifolds under Ricci curvature bounds», Invent. Math. 102 (1990), p. 429-445.
3. G. BESSON, G. COURTOIS & S. GALLOT - «Entropies et rigidités des espaces localement symétriques de courbure strictement négative», Geom. Funct. Anal. 5 (1995), p. 731-799.
4. A. L. BESSE - Einstein manifolds, Springer-Verlag, Berlin, 1987.
5. C. P. BOYER & K. GALICKI - «3-Sasakian manifolds», Essays on Einstein Manifolds (C. LeBrun & M. Wang, éds.), International Press, 1998, à paraître.
6. O. BIQUARD - «Métriques d'Einstein à cusps et équations de Seiberg-Witten», J. reine angew. Math. 490 (1997), p. 129-154.
7. O. BIQUARD - «Einstein deformations of hyperbolic metrics», Essays on Einstein Manifolds (C. LeBrun & M. Wang, éds.), International Press, 1998, à paraître.
8. P. BUSER & H. KARCHER - Gromov's almost flat manifolds, Astérisque, vol. 81, Société Mathématique de France, Paris, 1981.
9. E. BONAN - «Sur l'algèbre extérieure d'une variété presque hermitienne quaternionique», C. R. Acad. Sci. Paris Sér. I Math. 295 (1982), p. 115-118.
10. S. Y. CHENG & S. T. YAU - «On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of Fefferman's equation», Comm. Pure Appl. Math. 33 (1980), p. 507-544.
11. C. L. EPSTEIN, R. B. MELROSE & G. A. MENDOZA - «Resolvent of the Laplacian on strictly pseudoconvex domains», Acta Math. 167 (1991), p. 1-106.
12. C. L. FEFFERMAN - «Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains», Ann. Math. (2) 103 (1976), p. 395-416.
13. C. L. FEFFERMAN & C. R. GRAHAM - «Conformal invariants», The mathematical heritage of Élie Cartan (Lyon, 1984), Astérisque, vol. hors série, Société Mathématique de France, 1985, p. 95-116.
14. E. FALBEL, C. GORODSKI & M. RUMIN - «Holonomy of sub-Riemannian manifolds», Int. J. Math. 8 (1997), p. 317-344.
15. W. FULTON & J. HARRIS - Representation theory: a first course, Springer-Verlag, 1991.
16. C. R. GRAHAM & J. M. LEE - «Einstein metrics with prescribed conformal infinity on the ball», Adv. Math. 87 (1991), p. 186-225.
17. M. HERZLICH - «Scalar curvature and rigidity of odd-dimensional complex hyperbolic spaces», Math. Ann. 312 (1998), p. 641-657.
18. E. HEBEY & M. HERZLICH - «Harmonic coordinates, harmonic radius and convergence of Riemannian manifolds», Rend. Mat. Appl. (7) 17 (1997), p. 569-605.
19. N. J. HITCHIN - «Twistor spaces, Einstein metrics and isomonodromic deformations», J. Differential Geom. 42 (1995), p. 30-112.
20. D. JERISON & J. M. LEE - «Intrinsic CR normal coordinates and the CR Yamabe problem», J. Differential Geom. 29 (1989), p. 303-343.
21. N. KOISO - «Nondeformability of Einstein metrics», Osaka J. Math. 15 (1978), p. 419-433.
22. C. R. LEBRUN - «H-space with a cosmological constant», Proc. Roy. Soc. London Ser. A 380 (1982), p. 171-185.
23. C. LEBRUN - «Quaternionic-Kähler manifolds and conformal geometry», Math. Ann. 284 (1989), p. 353-376.
24. C. LEBRUN - «On complete quaternionic-Kähler manifolds», Duke Math. J. 63 (1991), p. 723-743.
25. C. LEBRUN - «Einstein metrics and Mostow rigidity», Math. Res. Lett. 2 (1995), p. 1-8.
26. J. M. LEE - «The Fefferman metric and pseudohermitian invariants», Trans. Amer. Math. Soc. 296 (1986), p. 411-429.
27. J. M. LEE - «Pseudo-Einstein structures on CR manifolds», Amer. J. Math. 110 (1988), p. 157-178.
28. M. C. LEUNG - «Pinching theorem on asymptotically hyperbolic spaces», Internat. J. Math. 4 (1993), p. 841-857.
29. J. M. LEE & R. B. MELROSE - «Boundary behaviour of the complex Monge-Ampère equation», Acta Math. 148 (1982), p. 159-192.
30. R. MAZZEO - «Elliptic theory of differential edge operators. I.», Comm. Partial Differential Equations 16 (1991), p. 1615-1664.
31. R. B. MELROSE - «Calculus of conormal distributions on manifolds with corners», Int. Math. Res. Not. 3 (1992), p. 51-61.
32. M. MIN-OO - «Scalar curvature rigidity of asymptotically hyperbolic spin manifolds», Math. Ann. 285 (1989), p. 527-539.
33. H. PEDERSEN - «Einstein metrics, spinning top motions and monopoles», Math. Ann. 274 (1986), p. 35-59.
34. S. SALAMON - «Quaternionic Kähler manifolds», Invent. Math. 67 (1982), p. 143-171.
35. S. SALAMON - Riemannian geometry and holonomy groups, Longman Scientific & Technical, Harlow, 1989.
36. J. A. SCHOUTEN & J. HAANTJES - «Beitraege zur allgemeinen (gekruemmten) konformen Differentialgeometrie», Math. Ann. 112 (1936), p. 594-629.
37. J. A. SCHOUTEN & J. HAANTJES - «Beitraege zur allgemeinen (gekruemmten) konformen Differentialgeometrie. II», Math. Ann. 113 (1936), p. 568-583.
38. A. F. SWANN - «Aspects symplectiques de la géométrie quaternionique», C. R. Acad. Sci. Paris Sér. I Math. 308 (1989), p. 225-228.
39. A. F. SWANN - «Quaternionic Kähler geometry and the fundamental 4-form», Proceedings of the Workshop on Curvature Geometry (Lancaster, 1989) (Lancaster), ULDM Publ., 1989, p. 165-173.
40. N. TANAKA - A differential geometric study on strongly pseudo-convex manifolds, Lectures in Mathematics, Department of Mathematics, Kyoto University, vol. 9, Kinokuniya Book-Store Co. Ltd., Tokyo, 1975.
41. N. R. WALLACH - Harmonic analysis on homogeneous spaces, Marcel Dekker, 1973.
42. S. M. WEBSTER - «Pseudo-hermitian structures on a real hypersurface», J. Differential Geom. 13 (1979), p. 25-41.
43. E. WITTEN - «A new proof of the positive energy theorem», Comm. Math. Phys. 80 (1981), p. 381-402.