A Brief Note on Foliations of Constant Gaussian Curvature

2008/02/15 by Graham Smith, Smith, Graham
Mathematics · Physics and Astronomy · #35J60 #37F30 #51M10 #53C12 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0802.2202

openalex publication_date 2008/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note provides an alternative proof of a result of Labourie. We show that the two complements of the convex core of a three dimensional quasi-fuchsian hyperbolic manifold may be foliated by embedded hypersurfaces of constant Gaussian curvature.

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