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

Marc Herzlich (1)

1 GETODIM - Laboratoire de Géométrie, Topologie et Algèbre

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.

Mots clés: Complex hyperbolic space; renormalized volume; Euler characteristic

Domaines: Géométrie différentielle [math.DG]

Marc Herzlich. A remark on renormalized volume and Euler characteristic for ACHE 4-manifolds. 2003. ⟨hal-00000351v1⟩