Einstein metrics with anisotropic boundary behaviour

2009/01/08 by Stuart Armstrong, Olivier Biquard, Armstrong, S. +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · doi:10.48550/arxiv.0901.1051

openalex publication_date 2009/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct new examples of complete Einstein metrics on balls. At each point of the boundary at infinity, the metric is asymptotic to a homogeneous Einstein metric on a solvable group, which varies with the point at infinity.

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