Boundary value problems for metrics on 3-manifolds

2011/03/06 by Michael T. Anderson, Anderson, Michael T.
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1103.1152

openalex publication_date 2011/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the problem of prescribing the mean curvature and conformal class as boundary data for Einstein metrics on 3-manifolds, in the context of natural elliptic boundary value problems for Riemannian metrics.

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