L^2 curvature and volume renormalization of AHE metrics on 4-manifolds
By Michael T. Anderson. 2000
143 citations recorded by the source corpus.
This paper relates the boundary term in the Chern-Gauss-Bonnet formula on 4-manifolds M with the renormalized volume V, as defined in the AdS/CFT correspondence, for asymptotically hyperbolic Einstein metrics on M. In addition, we compute and discuss the differential or variation dV of V, or equivalently the variation of the L^2 norm of the Weyl curvature, on the space of such Einstein metrics.
Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/673fe709e68365cb6358023a65c683a6e0f2b1cd
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In Applied Mathematics
In Geometry and Topology
- John M. Lee
- Roberto Frigerio
- L. Tu
- Jean H. Gallier
- Jocelyn Quaintance
- Marina Meil
- Dominique C. Perrault-Joncas
- D. Harlow
In Nuclear and High Energy Physics
Citations in the corpus
- Geometric aspects of the AdS/CFT correspondence (2004, unknown): “20) in [3], using the Lorentz version of the Chern-Gauss-Bonnet theorem, cf.”
- Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds (2001, background): “This is not the place for a complete survey of the relevant literature, but let me just refer the reader to [2, 3, 11, 12, 13, 15, 25, 26, 27, 28, 31, 32, 40, 43, 50, 52].”