Volume renormalization for conformally compact asymptotically hyperbolic manifolds in dimension four

C.B. Allendoerfer, A. Weil, The Gauss-Bonnet theorem for Riemannian polyhedra , Trans. Amer. Math. Soc. 53

1943

Earlier work this paper cites.

S.S. Chern, On the curvature integra in a Riemannian manifold , Ann. of Math. 46

1945

Earlier work this paper cites.

D. Lovelock, The Einstein tensor and its generalizations , J. Math. Phys.textbf12 (1971), 498-501

1971

Earlier work this paper cites.

C. Fefferman, C.R. Graham, Conformal invariants , Asterisque (1985) 95-116

1985

Earlier work this paper cites.

A.L. Besse, Einstein manifolds , Springer-Verlag (1987)

1987

Earlier work this paper cites.

C.R. Graham, J.M. Lee, Einstein metrics with prescribed conformal infinity on the ball , Adv. Math. 87

1991

Earlier work this paper cites.

M. Henningson, K. Skenderis, The holographic Weyl anomaly , J. High Ehergy Phys. 7

1998

Earlier work this paper cites.

E. Witten, Anti de Sitter space and holography , Adv. Theor. Math Phys. 2

1998

Cited alongside, same era.

C.R. Graham, E. Witten, Conformal anomaly of submanifold observables in AdS/CFT correspondence , Nuclear Phys. B 546

1999

Cited alongside, same era.

O. Biquard, Metriques d’Einstein asymptotiquement symetriques , Asterique 265

2000

Cited alongside, same era.

M.T. Anderson, L 2 L^{2} curvature and volume renormalization of AHE metrics on 4-manifolds , Math. Res. Lett. 8

2001

Cited alongside, same era.

C. Fefferman, C.R. Graham, Q-curvature and Poincare metrics , Math. Res. Lett. 9

2002

Cited alongside, same era.

M.T. Anderson, Some results on the structure of conformally compact Einstein metrics , preprint, 2005, arXiv: math.DG/0402198

M.L. Labbi, Double forms, curvature structures and the (p,q)-curvatures , Trans. Amer. Math. Soc. 357

2005

Later among the works it cites.

S.Y.A. Chang, J. Qing, P. Yang, Renormalized volumes for conformally compact Einstein manifolds , Sovrem. Mat. Fundam. Napravl. 17

2006

Later among the works it cites.

J.M. Lee, Fredholm operators and Einstein metrics on conformally compactmanifolds , Mem. AMS 183 (864) (2006)

2006

Later among the works it cites.

S. Alexakis, R. Mazzeo, Renormalized area and properly embedded minimal surfaces in hyperbolic 3-manifolds , preprint, 2008, arXiv:0802.2250

Original

2008

Later among the works it cites.

M.L. Labbi, Variational properties of the Gauss-Bonnet curvatures , Cal. Var. PDE 32

2008

Later among the works it cites.