The conformal approach to asymptotic analysis

2015/08/11 by Jean-Philippe Nicolas, Nicolas, Jean-Philippe
Mathematics · Physics and Astronomy · #35L05 #35P25 #35Q75 #83C57 #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Mathematics and Applications #gr-qc #math-ph #math.AP #math.MP #msc:35L05 #msc:35P25 #msc:35Q75 #msc:83C57

paper · pdf · doi:10.48550/arxiv.1508.02592

32 pages, 6 figures

arxiv created 2015/08/11 · openalex publication_date 2015/08/11 · arxiv updated 2015/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This essay was written as an extended version of a talk given at a conference in Strasbourg on "Riemann, Einstein and geometry", organized by Athanase Papadopoulos in September 2014. Its aim is to present Roger Penrose's approach to asymptotic analysis in general relativity, which is based on conformal geometric techniques, focusing on historical and recent aspects of two specialized topics~: conformal scattering and peeling.

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