Fetching the paper…
Reading the bibliography…
Unique continuation results are proved for metrics with prescribed Ricci curvature in the setting of bounded metrics on compact manifolds with boundary, and in the setting of complete, conformally compact metrics.
A. Calderón, Uniqueness in the Cauchy problem for partial differential equations, Amer. Jour. of Math.,
1958
Earlier work this paper cites.
A. Calderón, Existence and uniqueness theorems for systems of partial differential equations, Proc. Symp. Fluid Dynamics and Appl. Math., Gordon and Breach, New York, (1962), 147-195
1962
Earlier work this paper cites.
S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Wiley-Interscience, New York, 1963
1963
Earlier work this paper cites.
M. Obata, The conjectures on conformal transformations of Riemannian manifolds, Jour. Diff. Geom.,
1972
Earlier work this paper cites.
S.W.Hawking and G.F.R. Ellis, The Large Scale Structure of Space-Time, Cambridge Univ. Press, (1973)
1973
Earlier work this paper cites.
L. Nirenberg, Lectures on Partial Differential Equations, CBMS Series, No. 17, Amer. Math. Soc., Providence, RI, (1973)
1973
Earlier work this paper cites.
D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order, Second Edition, Springer Verlag, New York, (1983)
1983
Earlier work this paper cites.
R. Wald, General Relativity, Univ. of Chicago Press, Chicago, (1984)
1984
Earlier work this paper cites.
C. Fefferman and C.R. Graham, Conformal invariants, in: Élie Cartan et les Mathematiques d’Aujourd’hui, Astérisque, 1985, Numero hors Serie, Soc. Math. France, Paris, 95-116
1985
Earlier work this paper cites.
A. Besse, Einstein Manifolds, Ergebnisse der Math. Series 3:10, Springer Verlag, New York, (1987)
1987
Earlier work this paper cites.
J. L. Kazdan, Unique continuation in geometry, Comm. Pure Appl. Math.,
1988
Earlier work this paper cites.
C.R. Graham and J.M. Lee, Einstein metrics with prescribed conformal infinity on the ball, Advances in Math.,
1991
Cited alongside, same era.
R. Mazzeo, Unique continuation at infinity and embedded eigenvalues for asymptotically hyperbolic manifolds, Amer. Jour. Math.,
1991
Cited alongside, same era.
L. Andersson and M. Dahl, Scalar curvature rigidity for asymptotically locally hyperbolic manifolds, Ann. Glob. Anal. Geom.,
1998
Cited alongside, same era.
O. Biquard, Métriques d’Einstein asymptotiquement symmétriques, Astérisque
2000
Cited alongside, same era.
C. R. Graham, Volume and area renormalization for conformally compact Einstein metrics, Rend. Circ. Mat. Palermo (2) Suppl
2000
Cited alongside, same era.
L. Andersson and V. Moncrief, Elliptic-hyperbolic systems and the Einstein equations, Ann. Henri Poincaré,
2003
Later among the works it cites.
J. Qing, On the rigidity of conformally compact Einstein manifolds, Int. Math. Res. Not., (2003), No. 21, 1141-1153, math.DG/0305084
2003
Later among the works it cites.
M. Anderson, A. Katsuda, Y. Kurylev, M. Lassas and M. Taylor, Boundary regularity for the Ricci equation, geometric convergence and Gel’fand’s inverse boundary problem, Inventiones Math.,
2004
Later among the works it cites.
S. Kichenassamy, On a conjecture of Fefferman and Graham, Adv. in Math.,
2004
Later among the works it cites.
M. Anderson, P. Chrusćiel and E. Delay, Non-trivial, static, geodesically complete space-times with a negative cosmological constant, II, in: AdS/CFT Correspondence: Einstein Metrics and Their Conformal Boundaries, Ed. O. Biquard, IMRA Lectures, vol. 8, Euro. Math. Soc, Zürich, (2005), 165-204, gr-qc/0401081
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
S. de Haro, K. Skenderis and S. Solodukhin, Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence, Comm. Math. Phys.,
2001
Cited alongside, same era.
X. Wang, The mass of asymptotically hyperbolic manifolds, Jour. Diff. Geom.,
2001
Cited alongside, same era.
M. Akbar and P. D’Eath, Classical boundary-value problem in Riemannian quantum gravity and self-dual Taub-NUT-(anti)de Sitter geometries, Nucl.Phys
2003
Cited alongside, same era.
M. Akbar, Classical boundary-value problem in Riemannian quantum gravity and self-dual Taub-Bolt-anti-de Sitter geometries, Nucl.Phys
2003
Cited alongside, same era.
M. Anderson, Boundary regularity, uniqueness and non-uniqueness for AH Einstein metrics on 4-manifolds, Advances in Math.,
2003
Cited alongside, same era.
M. Anderson, On the structure of conformally compact Einstein metrics, (preprint, Feb. 04/Dec. 05), math.DG/0402198
Cited in the paper.
M. Anderson, Einstein metrics with prescribed conformal infinity on 4-manifolds, (preprint, May 01/March 05), math.DG/0105243
Cited in the paper.
2005
Later among the works it cites.
P. Chruściel, E. Delay, J. Lee and D. Skinner, Boundary regularity of conformally compact Einstein metrics, Jour. Diff. Geom.,
2005
Later among the works it cites.
G. Craig, Dehn filling and asymptotically hyperbolic Einstein metrics, Comm. Anal. Geom.,
2006
Later among the works it cites.
J. M. Lee, Fredholm operators and Einstein metrics on conformally compact manifolds, Memoirs Amer. Math. Soc.,
2006
Later among the works it cites.
R. Mazzeo and F. Pacard, Maskit combinations of Poincaré-Einstein metrics, Advances in Math.,
2006
Later among the works it cites.
E. Zehnder, Generalized implicit function theorems, in: Topics in Nonlinear Functional Analysis, L. Nirenberg, Courant Institute of Math. Sci., NYU, (1974)
2007
Closest in time.