Scalar curvature and the existence of geometric structures on 3-manifolds, II

2002/02/04 by Michael T. Anderson, Anderson, Michael T.
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Point processes and geometric inequalities #math.DG #math.GT

paper · pdf · doi:10.48550/arxiv.math/0202030

61pp

arxiv created 2002/02/04 · openalex publication_date 2002/02/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a continuation of a previous paper of same title. The degeneration, i.e. curvature blow-up, of sequences of metrics appoaching the Sigma constant, assumed non-positive, is analysed. The degeneration is related to the sphere decomposition of the 3-manifold M, in case M is sigma-tame.

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