A remark on renormalized volume and Euler characteristic for ACHE 4-manifolds

Mathematics – Differential Geometry

Scientific paper

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revised version ; reference to math.DG/0404455 added

Scientific paper

This note computes the "renormalized volume" and a
renormalizedGauss-Bonnet-Chern formula for the Euler characteristic
ofasymptotically complex hyperbolic Einstein (in short: ACHE)4-manifolds.

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