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

2003/05/09 by Marc Herzlich, Herzlich, Marc
Mathematics · Physics and Astronomy · #53C55 #58J28 #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C55 #msc:58J28

paper · pdf · doi:10.48550/arxiv.math/0305134

revised version ; reference to math.DG/0404455 added

openalex publication_date 2003/05/09 · arxiv created 2004/05/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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