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- W4297889570 abstract "New properties are derived of renormalized volume functionals, which arise as coefficients in the asymptotic expansion of the volume of an asymptotically hyperbolic Einstein (AHE) manifold. A formula is given for the renormalized volume of an even-dimensional AHE manifold in terms of an arbitrary totally geodesic compactification. The second variation of renormalized volume functionals under conformal change is identified, and is used to show that Einstein metrics of nonzero scalar curvature are local extrema." @default.
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- W4297889570 date "2012-11-27" @default.
- W4297889570 modified "2023-10-18" @default.
- W4297889570 title "A note on renormalized volume functionals" @default.
- W4297889570 doi "https://doi.org/10.48550/arxiv.1211.6422" @default.
- W4297889570 hasPublicationYear "2012" @default.
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