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

Marc Herzlich

doi:10.1016/j.difgeo.2006.05.005

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

Journal article

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

Marc Herzlich

Differential Geometry and its Applications, Vol.25(1), pp.78-91

2007

DOI: https://doi.org/10.1016/j.difgeo.2006.05.005

Abstract

Complex hyperbolic space

renormalized volume

Euler characteristic

53C55, 58J28

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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Title: A remark on renormalized volume and Euler characteristic for ACHE 4-manifolds
Creators - without role: Marc Herzlich - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Publication Details: Differential Geometry and its Applications, Vol.25(1), pp.78-91
Identifiers: 9937992309311
Academic Unit: Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Journal article
Local Fields: hal-00000351