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This paper provides details of the construction, properties and some applications of the ambient metric associated to a conformal class of metrics on a smooth manifold.
J. Haantjes and A. J. Schouten, Beiträge zur allgemeinen (gekrümmten) konformen differentialgeometrie, I, II
1937
Earlier work this paper cites.
H. Weyl, The Classical Groups
1939
Earlier work this paper cites.
S. Karlin and J. L. McGregor, The Hahn polynomials, formulas and an application
1961
Earlier work this paper cites.
M. Atiyah, R. Bott and V. K. Patodi, On the heat equation and the index theorem
1975
Earlier work this paper cites.
D. Epstein Natural tensors on Riemannian manifolds
1975
Earlier work this paper cites.
M. S. Baouendi and C. Goulaouic, Singular nonlinear Cauchy problems
1976
Earlier work this paper cites.
C. Fefferman Parabolic invariant theory in complex analysis
1979
Earlier work this paper cites.
C. LeBrun, ℋ \mathcal{H} -space with a cosmological constant
1982
Earlier work this paper cites.
R. Askey and J. Wilson, Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
1985
Earlier work this paper cites.
C. Fefferman and C. R. Graham, Conformal invariants,
1985
Earlier work this paper cites.
L. Hörmander, The Analysis of Linear Partial Differential Operators III
1985
Earlier work this paper cites.
J. M. Lee and T. H. Parker, The Yamabe problem
1987
Earlier work this paper cites.
R. R. Mazzeo, The Hodge cohomology of a conformally compact metric
1988
Earlier work this paper cites.
C. R. Graham and J. M. Lee, Einstein metrics with prescribed conformal infinity on the ball
1991
Earlier work this paper cites.
A. F. Nikiforov, S. K. Suslov and V. B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable
1991
Earlier work this paper cites.
C. R. Graham, Conformally invariant powers of the Laplacian, II: Nonexistence
1992
Earlier work this paper cites.
C. R. Graham, R. Jenne, L.J. Mason and G. A. J. Sparling, Conformally invariant powers of the Laplacian, I: Existence
1992
Cited alongside, same era.
T. N. Bailey, M. G. Eastwood and A. R. Gover, Thomas’s structure bundle for conformal, projective and related structures
1994
Cited alongside, same era.
T. N. Bailey, M. G. Eastwood and C. R. Graham, Invariant theory for conformal and CR geometry
1994
Cited alongside, same era.
T. N. Bailey and A. R. Gover, Exceptional invariants in the parabolic invariant theory of conformal geometry
1995
Cited alongside, same era.
T. Branson, Sharp inequalities, the functional determinant, and the complementary series
1995
Cited alongside, same era.
S. Lang, Fundamentals of Differential Geometry
C. Fefferman and K. Hirachi, Ambient metric construction of Q Q -curvature in conformal and CR geometries
2003
Later among the works it cites.
A. R. Gover and L. J. Peterson, Conformally invariant powers of the Laplacian, Q Q -curvature, and tractor calculus
2003
Later among the works it cites.
A. R. Gover and K. Hirachi, Conformally invariant powers of the Laplacian–a complete non-existence theorem
2004
Later among the works it cites.
S. Kichenassamy, On a conjecture of Fefferman and Graham
2004
Later among the works it cites.
A. Rendall, Asymptotics of solutions of the Einstein equations with positive cosmological constant
2004
Later among the works it cites.
T. Branson and A. R. Gover, Conformally invariant operators, differential forms, cohomology and a generalisation of Q-curvature
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1999
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K. Hirachi, Construction of boundary invariants and the logarithmic singularity of the Bergman kernel
2000
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K. Skenderis and S. N. Solodukin, Quantum effective action from the AdS/CFT correspondence
2000
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S. de Haro, K. Skenderis and S. N. Solodukhin, Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence
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C. Epstein, An asymptotic volume formula for convex cocompact hyperbolic manifolds
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A. R. Gover, Invariant theory and calculus for conformal geometries
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A. Besse, Einstein Manifolds
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C. R. Graham, Dirichlet-to-Neumann map for Poincaré-Einstein metrics
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A. R. Gover, Laplacian operators and Q Q -curvature on conformally Einstein manifolds
2006
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A. R. Gover and L. J. Peterson, The ambient obstruction tensor and the conformal deformation complex
2006
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T. Leistner, Conformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds
2006
Later among the works it cites.
C. R. Graham, Jet isomorphism for conformal geometry
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