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arXiv · 1612.09026

Volume renormalization for conformally compact asymptotically hyperbolic manifolds in dimension four

Shih-Tsai Feng
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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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Shih-Tsai Feng. 2016-12-29. Volume renormalization for conformally compact asymptotically hyperbolic manifolds in dimension four. https://arxiv.org/abs/1612.09026

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