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Volume renormalization for conformally compact asymptotically hyperbolic manifolds in dimension four (1612.09026v1)
Published 29 Dec 2016 in math.DG
Abstract: We derive a new renormalized volume formula for conformally compact asymptotically hyperbolic manifolds in dimension four. The formula generalizes the ones given by Anderson, Albin, and Chang-Qing-Yang for the case of Poincare-Einstein manifolds. We also derive variational formulas for the renormalized seen as a functional on the manifold.
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