L^2 curvature and volume renormalization of AHE metrics on 4-manifolds

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dc.creatorAnderson, Michael T.
dc.date2000-11-08
dc.date2001-02-07
dc.date.accessioned2026-07-07T04:38:30Z
dc.date.available2026-07-07T04:38:30Z
dc.descriptionThis 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.
dc.description15 pages, several corrections made. To appear in Math. Research Letters
dc.identifierhttps://arxiv.org/abs/math/0011051
dc.identifierhttp://arxiv.org/abs/math/0011051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60303
dc.subjectDifferential Geometry
dc.titleL^2 curvature and volume renormalization of AHE metrics on 4-manifolds
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